it.wikipedia.org website review
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it.wikipedia.org is 63% geoptimaliseerd!
SEO Keyword summary for it.wikipedia.org/wiki/equazioni_cubiche
Keywords are extracted from the main content of your website and are the primary indicator of the words this page could rank for. By frequenty count we expect your focus keyword to be displaystyle
Focus keyword
Short and long tail
Short Tail Keywords displaystyle frac sqrt |
long Tail Keywords (2 words) di terzo terzo grado equazioni di delta textiii di secondo |
long Tail Keywords (3 words) di terzo grado equazioni di terzo iiidisplaystyle delta textiii le soluzioni dellequazione di secondo grado q2-sqrt frac q24frac scipione del ferro |
it.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a it.wikipedia.org/wiki/equazioni_cubiche page is used to inform the browser and visitors of the page about the general meta information. The head section of the page is where we place the page title, the definition of the HTML version used, the language of in which the page is written. In the head section we can also include JavaScript and CSS (markup) files for the page.
Page title
Title length
equazione terzo grado wikipedia
Meta description
Meta description legth
Meta description SEO
No meta relevance in the description detected !
Content SEO
Number of Words
Spam detected?
Headings
Heading distribution
Heading normalisation
Heading SEO impact
Emphasis (bold and italic)
Emphasis SEO impact
Images
Number of images
Images dimensions
Image alt descriptions
Images SEO impact
displaystyle fxx cxd qquad textcon aneq pxq uvq sqrt usqrt xsqrt quad rightarrow over dot qqquad qsqrt xyp eta xyfrac pyq pfrac cafrac qfrac dafrac frac yuv vsqrt ysqrt xfrac asqrt delta textiii textiiiquad uleftfrac ifrac rightvleftfrac right isqrt rho cos theta isin leftp leftq uvuv uvy uvyu bax caxfrac xyk bayk caykfrac ktfrac kfrac longleftrightarrow begincasespfrac caqfrac daendcases begincases uvpu qendcasesrightarrow begincasesuvfrac qendcases begincasesu rzs qzfrac uvtfrac tfrac textiiisqrt leftfrac big textiiibig leftsqrt textiiibegincasessqrt leftcos rightu endcases rightv yuivj uivj rightquad uivjtfrac pxax cxdaxx acb abc ssqrt tsqrt stfrac afrac sti xkfrac tuktukqquad kin aleftb ukc ukcrightqquad csqrt rasqrt vtextcono vtextcilindro vtextcilindrohcdot textareatextbasehcdot vtextconopi lefthsqrt vtexttubo vtextacqua vtextacquavtextcilindrovtextconovtexttubo vtextacquahh hvtextacquavtexttubo kvtextacquavtexttubo rtextcono rtextcilindro bxcqquad bca cxfrac bcaaleftxfrac barightleftx caright xtfrac collabora wikimedia commons modifica wikidata foundation powered mediawiki
Mobile SEO it.wikipedia.org/wiki/equazioni_cubiche
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for it.wikipedia.org/wiki/equazioni_cubiche
Social Media
Facebook shares | Facebook likes | ||
Facebook comments | Tweets | ||
Google +1 |
Conversion form
Search form
Analytics
Online presence
SERP Preview
SERP Title
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
che found in path !
equazioni found in path !
Structured data
Publisher Markup
Other Structured data
Website configuration
Correct processing of non-existing pages?
Favicon icon found?
Robots.txt found?
Sitemap found?
Navigation and internal links
Navigation
Url seperator
Human readable urls
Number of links
Link SEO Impact
statistiche
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it.m.wikipedia.org |
w equazioni cubiche
modifica wikitesto
matematica persiana
annibale della nave
modifica wikitesto
modifica wikitesto
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modifica wikitesto
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modifica wikitesto
modifica wikitesto
modifica wikitesto
modifica wikitesto
modifica wikitesto
modifica wikitesto
modifica wikitesto
modifica wikitesto
modifica wikitesto
modifica wikitesto
link permanente
modifica wikitesto
informazioni pagina
versione stampabile
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wiki matematica
equazione
forma polinomiale
scipione del ferro
cardano
tartaglia
matematica babilonese
equazione di secondo grado
coniche
duplicazione dellaltare di apollo
umar khayym
luca pacioli
1494
1526
antonio maria del fiore
latino
1541
1545
lodovico ferrari
equazione di quarto grado
milano
balbuzie
1512
paolo rossi
ars magna
professore
oroscopo
ges cristo
franois vite
biquadratiche
johan jacob ferguson
risoluzione di unequazione
punto di flesso
teorema fondamentale dellalgebra
numero complesso
radici quadrate
numero negativo
rafael bombelli
numeri complessi
campo complesso
numero reale
radici cubiche dellunit
vasi comunicanti
cono
cilindrico
tensione superficiale
isbn
mathworld
universit di pisa
matematica dilettevole e curiosa
ulrico hoepli editore
carl boyer
storia della matematica
arnoldo mondadori editore
funzione cubica
equazione lineare
enciclopedia britannica
planetmath
encyclopaedia of mathematics
thesaurus bncf
pagina principale
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Links to external pages
Outloing links
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SEO Advice for it.wikipedia.org
In this section we provide pointers on how you can to optimize your web page so it can be found more easily by search engines and how to make it rank higher by optimizing the content of the page itself. For each of the individual criteria the maximum score is 100%. A score below 70% is considered to be indication that the page is not complying with general SEO standards and should be evaluated and/or fixed. Not every factor is weighted the same and some are not as important as others. Relatively unimportant factors like meta keywords are not included in the overall score.
Item | Factor | Pointers | |
---|---|---|---|
PageTitle | 100% | Far too many sites lack a page title. A page title is the first thing that shows in the search results so always use the title element. | |
Title relevance | 98% | A title should reflect the contents of a site. This site has a 75 % match | |
Title Length | 80% | Limit your title to anywhere between 40 and 70 characters. Your title was 37 characters long | |
Meta Description | 0% | A meta description is the second element that shows in the search results so always use the meta description. | |
Meta description length | 0% | The meta description should be between 145 and 160 characters. This meta description is 1 characters long. | |
Meta description relevance | 0% | Meta Description should reflect the contents of a site. This site has a 0 % match | |
Number of internal links | 70% | Linking to internal pages makes pages easier to find for search engines. Try to keep the number of links on your page roughly below 100. There are 141 internal links on this page. | |
Folder structure | 100% | We found a folder structure in the links on your page. A good folder structure makes a site easier to navigate. We found 3 level 1 folders and 5 folders above or in the first level of navigation. | |
Headings | 60% | Headers should reflect the contents of a site. This site has a 26 % match | |
Links | 14% | Link anchors should to some degree reflect the contents of a site. This site has a 7 % match | |
Image alt tags | 17% | Image alt tags should to some degree reflect the contents of a site. This site has a 6 % match | |
Bold and italic | 48% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 16 % match | |
Html ratio | 30% | Try to keep the html / text ratio as low as possible. More html means longer loading times. Layout should be handled in a serpate css file | |
Image descriptions | 97% | 97.46192893401 % of all images have been described via the "alt" attribute. Describing images with relevant text may lead to better results in the search engines. | |
Page errors | 100% | Pages with no errors display significantly faster on most browsers. We detected 0 errors and warnings | |
WordCount | 20% | An ideal page contains between 400 and 600 words.This page contains 5437 words | |
Server response time | 30% | A slow server slows down a website. This server responds 464.27% slower the average | |
Gzip compression | 30% | This site does not use Gzip compression. Pages may not display as fast as they could | |
Keywords in Domainname | 30% | There are no important keywords in your domain name | |
Keywords in domain path | 100% | There are important keywords in the domain path | |
Structured Data | 100% | Structured data makes it easier for search engines to index your website | |
Inline css | 0% | Do not use inline css declarations. Inline css will slow down the rendering of the website. We detected 431 inline style declarations ( <a style="color:green">) with a size of 14594 bytes | |
Excessive use of the same words | 100% | There is no indication that there are one or more keywords that are used excessively. | |
Frames or iframes | 100% | Perfect, detected not (i)frames on your webpagina | |
Flash | 100% | Perfect, we detected no flash objects on your page | |
Css | 30% | We detected too much (2) CSS files on your page. Css files block the loading of a webpage. | |
Javascript | 100% | Perfect, we did not detect too many blocking JavaScript files | |
Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
Most important heading | 100% | Perfect, we detected a correct use of the most important (h1) heading! | |
Normalized headings | 100% | Perfect, we found a correct use of normalized headings ! |
How would you like to have SEO advice for all your pages ?? Start your SEO Dashboard and optimize your website!
it.wikipedia.org images and descriptions
170 images found at it.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1933568766a820d9b7087b4005fa1b7cd27e88db height: height attribute not set width: width attribute not set description: {\displaystyle \left({p \over 3}\right)^{3}<-\left({q \over 2}\right)^{2}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/de5903b899aa212c76ab7a03f88d78bfd6028c61 height: height attribute not set width: width attribute not set description: {\displaystyle y^{3}=(u+v)^{3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a5acdbc6f016e00a02c7b46695d07baf0b6dde23 height: height attribute not set width: width attribute not set description: {\displaystyle y^{3}=u^{3}+3u^{2}v+3uv^{2}+v^{3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cbfd16c624756a173527b84c45277e8a9d775935 height: height attribute not set width: width attribute not set description: {\displaystyle y^{3}=u^{3}+v^{3}+3uv(u+v)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/330726aa9ed815fcaf192fb98705bdab45b35dd8 height: height attribute not set width: width attribute not set description: {\displaystyle y^{3}=u^{3}+v^{3}+3uvy} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6ebe089da1ed6830b9ce5e0ea79fc3d4ba6bd8de height: height attribute not set width: width attribute not set description: {\displaystyle y^{3}-3uvy-(u^{3}+v^{3})=0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/82fc450dcc989516e27075a2a87b926cd0d8dfb8 height: height attribute not set width: width attribute not set description: {\displaystyle y^{3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc height: height attribute not set width: width attribute not set description: {\displaystyle a} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3ff8e934edd49a113e1fa9d2288965d93d9a5f03 height: height attribute not set width: width attribute not set description: {\displaystyle x^{3}+{\frac {b}{a}}x^{2}+{\frac {c}{a}}x+{\frac {d}{a}}=0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4e2d4389a3b6f20cb8a118506601a68c2263143a height: height attribute not set width: width attribute not set description: {\displaystyle x^{3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/93da53719030cbe03adc08ed7e6f1a55795a91c1 height: height attribute not set width: width attribute not set description: {\displaystyle x=y-k} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/313485cd58b7978033f5b6b0126f34ee0391cd82 height: height attribute not set width: width attribute not set description: {\displaystyle (y-k)^{3}+{\frac {b}{a}}(y-k)^{2}+{\frac {c}{a}}(y-k)+{\frac {d}{a}}=0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3bb7dca3b73527165f640b2c30fb4dea30384cc2 height: height attribute not set width: width attribute not set description: {\displaystyle (-3k+{\tfrac {b}{a}})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d6a336bc589a0fb97cabc0842e18db805901c8c4 height: height attribute not set width: width attribute not set description: {\displaystyle -3k+{\frac {b}{a}}=0\longleftrightarrow k={\frac {b}{3a}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f11577236bbf1ded1cd1a0f1f677d385e3d2cadb height: height attribute not set width: width attribute not set description: {\displaystyle x=y-{\frac {b}{3a}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bcbcd26726dfe88f9785cec4886cf1c4f246c469 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}p=-{\frac {b^{2}}{3a^{2}}}+{\frac {c}{a}}\\q={\frac {2b^{3}}{27a^{3}}}-{\frac {bc}{3a^{2}}}+{\frac {d}{a}}.\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e2f9c70626fb15f6b872167b48385dd54292743b height: height attribute not set width: width attribute not set description: {\displaystyle -3uv} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36 height: height attribute not set width: width attribute not set description: {\displaystyle p} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e8b29021a3e2389e6db355c6a7b28924dbb65a13 height: height attribute not set width: width attribute not set description: {\displaystyle -(u^{3}+v^{3})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/06809d64fa7c817ffc7e323f85997f783dbdf71d height: height attribute not set width: width attribute not set description: {\displaystyle q} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8c9b2dec5b55b2d5f6f3826708b77049ab2229a2 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}-3uv=p\\-(u^{3}+v^{3})=q\end{cases}}\rightarrow {\begin{cases}uv=-{\frac {p}{3}}\\u^{3}+v^{3}=-q.\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6bcce3daaca9d1a281742fd98d2291e301e74ec2 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}u^{3}v^{3}=-{\frac {p^{3}}{27}}\\u^{3}+v^{3}=-q.\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0165a313dc76b84047e2aeb59b7459035ce5c61a height: height attribute not set width: width attribute not set description: {\displaystyle -q} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9b79219a6a78c22f9cb5828bc40e5c9dafe2b2df height: height attribute not set width: width attribute not set description: {\displaystyle -{\frac {p^{3}}{27}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9ae29b00825960e91fd375e35356c7a2b903e561 height: height attribute not set width: width attribute not set description: {\displaystyle z^{2}-rz+s=0,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538 height: height attribute not set width: width attribute not set description: {\displaystyle r} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/01d131dfd7673938b947072a13a9744fe997e632 height: height attribute not set width: width attribute not set description: {\displaystyle s} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/873ec8bc4e1683f6d725df8bc7ccdec9493eff7e height: height attribute not set width: width attribute not set description: {\displaystyle z^{2}+qz-{\frac {p^{3}}{27}}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d86ee797faf5ae2be8fe73c54bc67b3d5b4763ff height: height attribute not set width: width attribute not set description: {\displaystyle u^{3}={\frac {-q+{\sqrt {q^{2}+{\frac {4p^{3}}{27}}}}}{2}}=-{\frac {q}{2}}+{\sqrt {{\frac {q^{2}}{4}}+{\frac {p^{3}}{27}}}}\ \rightarrow \ u={\sqrt[{3}]{-{\frac {q}{2}}+{\sqrt {{\frac {q^{2}}{4}}+{\frac {p^{3}}{27}}}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b80d5ec8c3270d6a41c9f81fd87a4d945d3eb77f height: height attribute not set width: width attribute not set description: {\displaystyle v^{3}={\frac {-q-{\sqrt {q^{2}+{\frac {4p^{3}}{27}}}}}{2}}=-{\frac {q}{2}}-{\sqrt {{\frac {q^{2}}{4}}+{\frac {p^{3}}{27}}}}\ \rightarrow \ v={\sqrt[{3}]{-{\frac {q}{2}}-{\sqrt {{\frac {q^{2}}{4}}+{\frac {p^{3}}{27}}}}}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b height: height attribute not set width: width attribute not set description: {\displaystyle n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7fe4671ddd04ff431b63f3de4dc36886ca0e4667 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}uv=-{\frac {p}{3}}\\u^{3}+v^{3}=-q\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/39e59a48625e3f90ad184a1b1ab8fe92e7b0f9bd height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}u^{3}v^{3}=-{\frac {p^{3}}{27}}\\u^{3}+v^{3}=-q\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/90b1d1222b86143e419c38fbc3ceee228db03131 height: height attribute not set width: width attribute not set description: {\displaystyle uv=-{\tfrac {p}{3}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b641bb16fea34263616f0aa95e858cf1afb100ed height: height attribute not set width: width attribute not set description: {\displaystyle -{\tfrac {p}{3}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4e6b4c628431f1c0bdf17baf5b94d2f46caa4c5f height: height attribute not set width: width attribute not set description: {\displaystyle uv} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e83438be3137bc451c6a670d6febe962c4493b6 height: height attribute not set width: width attribute not set description: {\displaystyle {\tfrac {q^{2}}{4}}+{\tfrac {p^{3}}{27}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b7e29454cbb336df67f62792b6c13b9a9e82b953 height: height attribute not set width: width attribute not set description: {\displaystyle y={\sqrt[{3}]{-{\frac {q}{2}}+{\sqrt {\delta _{\text{iii}}}}}}+{\sqrt[{3}]{-{\frac {q}{2}}-{\sqrt {\delta _{\text{iii}}}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/75548d398611699cd12aa38029f2e8a869b9a932 height: height attribute not set width: width attribute not set description: {\displaystyle y={\sqrt[{3}]{-{\frac {q}{2}}+{\sqrt {-1(-\delta _{\text{iii}})}}}}+{\sqrt[{3}]{-{\frac {q}{2}}-{\sqrt {-1(-\delta _{\text{iii}})}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/52676e14961bf4c8b32744b74cf66d0cf2aeddbf height: height attribute not set width: width attribute not set description: {\displaystyle y={\sqrt[{3}]{-{\frac {q}{2}}+i{\sqrt {-\delta _{\text{iii}}}}}}+{\sqrt[{3}]{-{\frac {q}{2}}-i{\sqrt {-\delta _{\text{iii}}}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c17c0169bbccfaa6774918043ec8fca6593ef8b2 height: height attribute not set width: width attribute not set description: {\displaystyle -{\tfrac {q}{2}}+i{\sqrt {-\delta _{\text{iii}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/202308b0a4f287b50ee574e879441cb11aa76f37 height: height attribute not set width: width attribute not set description: {\displaystyle -{\tfrac {q}{2}}-i{\sqrt {-\delta _{\text{iii}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/169204f6f2f54aace7eb43efc2f32c69bbde50d0 height: height attribute not set width: width attribute not set description: {\displaystyle \rho ={\sqrt {\left(-{\frac {q}{2}}\right)^{2}+{\big (}{\sqrt {-\delta _{\text{iii}}}}{\big )}^{2}}}={\sqrt {{\frac {q^{2}}{4}}-{\frac {q^{2}}{4}}-{\frac {p^{3}}{27}}}}={\sqrt {-{\frac {p^{3}}{27}}}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af height: height attribute not set width: width attribute not set description: {\displaystyle \theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1d715f4b31b39f52768eba6405b658be5dc573f5 height: height attribute not set width: width attribute not set description: {\displaystyle -\theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2176f2f9bbdae0cedd818ca0d7b53ef42f729633 height: height attribute not set width: width attribute not set description: {\displaystyle (\rho ,\theta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/09307bba771a14143c0a5a40892679412d73437a height: height attribute not set width: width attribute not set description: {\displaystyle (\rho ,-\theta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6819d08922c398872e25876b2526ec8a54c09352 height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt[{3}]{\rho }}={\sqrt[{3}]{\sqrt {-{\frac {p^{3}}{27}}}}}={\sqrt[{3}]{\left({\sqrt {-{\frac {p}{3}}}}\right)^{3}}}={\sqrt {-{\frac {p}{3}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/03c2d8112d3e9d662b1ea8404f148cfd5e525caf height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt[{3}]{-{\frac {q}{2}}+i{\sqrt {-\delta _{\text{iii}}}}}}={\begin{cases}{\sqrt {-{\frac {p}{3}}}}\left(\cos {\frac {\theta }{3}}+i\sin {\frac {\theta }{3}}\right)&(u_{1})\\{\sqrt {-{\frac {p}{3}}}}\left(\cos {\frac {\theta +2\pi }{3}}+i\sin {\frac {\theta +2\pi }{3}}\right)&(u_{2})\\{\sqrt {-{\frac {p}{3}}}}\left(\cos {\frac {\theta +4\pi }{3}}+i\sin {\frac {\theta +4\pi }{3}}\right)&(u_{3})\\\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/060ea0145c684366d9da72a99cd05631fbf57b7e height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt[{3}]{-{\frac {q}{2}}-i{\sqrt {-\delta _{\text{iii}}}}}}={\begin{cases}{\sqrt {-{\frac {p}{3}}}}\left(\cos {\frac {-\theta }{3}}+i\sin {\frac {-\theta }{3}}\right)&(v_{1})\\{\sqrt {-{\frac {p}{3}}}}\left(\cos {\frac {-\theta +2\pi }{3}}+i\sin {\frac {-\theta +2\pi }{3}}\right)&(v_{2})\\{\sqrt {-{\frac {p}{3}}}}\left(\cos {\frac {-\theta +4\pi }{3}}+i\sin {\frac {-\theta +4\pi }{3}}\right)&(v_{3})\\\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cfc2c1742bc383f5f2f3fe6f11823afec9b7fffc height: height attribute not set width: width attribute not set description: {\displaystyle y=u_{i}+v_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/abc17c1300ce06dee3cd0a5f5f68a071c1e4d3a2 height: height attribute not set width: width attribute not set description: {\displaystyle u_{i}v_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4bc6d3500070b43734962f985208e0488741686d height: height attribute not set width: width attribute not set description: {\displaystyle u_{1}v_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5b1c94888b9585ba15cfd48ca42bf098c5a43854 height: height attribute not set width: width attribute not set description: {\displaystyle u_{2}v_{3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3f670b018483d814d2754df07352a26e495eb982 height: height attribute not set width: width attribute not set description: {\displaystyle u_{3}v_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3bc2836737706bc4885662f1f392297f3bfb2d07 height: height attribute not set width: width attribute not set description: {\displaystyle y_{1}=u_{1}+v_{1}=2{\sqrt {-{\frac {p}{3}}}}\cos {\frac {\theta }{3}};} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d445f462746f2e8350913d50c64b100f36eed692 height: height attribute not set width: width attribute not set description: {\displaystyle y_{2}=u_{2}+v_{3}=2{\sqrt {-{\frac {p}{3}}}}\cos {\frac {\theta +2\pi }{3}};} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/73774a7310fc2455c10ffa49086ea8cc97d5621c height: height attribute not set width: width attribute not set description: {\displaystyle y_{3}=u_{3}+v_{2}=2{\sqrt {-{\frac {p}{3}}}}\cos {\frac {\theta +4\pi }{3}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/69b0c788a124a32684f109737f7cfab7611d6a58 height: height attribute not set width: width attribute not set description: {\displaystyle u_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/98d33f5d498d528bd8c10edc8ac8c34347f32b3a height: height attribute not set width: width attribute not set description: {\displaystyle v_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/60a6c201f36388af6c05b31bcf9c18dc6787a790 height: height attribute not set width: width attribute not set description: {\displaystyle u_{1}={\sqrt[{3}]{-{\frac {q}{2}}+{\sqrt {\delta _{\text{iii}}}}}};} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bac0757d0bb74a8ace500f2496c4ad36a37db252 height: height attribute not set width: width attribute not set description: {\displaystyle v_{1}={\sqrt[{3}]{-{\frac {q}{2}}-{\sqrt {\delta _{\text{iii}}}}}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3b1b0bfaac67b80f9faa3b6d7ea9796fac71c428 height: height attribute not set width: width attribute not set description: {\displaystyle u_{1}={\sqrt[{3}]{-{\frac {q}{2}}+{\sqrt {\delta _{\text{iii}}}}}},\quad u_{2}=u_{1}\left(-{\frac {1}{2}}+i{\frac {\sqrt {3}}{2}}\right),\quad u_{3}=u_{1}\left(-{\frac {1}{2}}-i{\frac {\sqrt {3}}{2}}\right);} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/adf557700951669a7ad9993869f277b8a7978927 height: height attribute not set width: width attribute not set description: {\displaystyle v_{1}={\sqrt[{3}]{-{\frac {q}{2}}-{\sqrt {\delta _{\text{iii}}}}}},\quad v_{2}=v_{1}\left(-{\frac {1}{2}}+i{\frac {\sqrt {3}}{2}}\right),\quad v_{3}=v_{1}\left(-{\frac {1}{2}}-i{\frac {\sqrt {3}}{2}}\right).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f3c6f3e4c0b6d3685410792948014ee88a6d001d height: height attribute not set width: width attribute not set description: {\displaystyle u_{i}v_{j}=-{\tfrac {p}{3}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6ffefe31a4d6befbe96e911e2eb44db3132a2aea height: height attribute not set width: width attribute not set description: {\displaystyle y_{1}=u_{1}+v_{1};} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/39b3fa5f61a7c82336415b1d6843a1ccf40d5247 height: height attribute not set width: width attribute not set description: {\displaystyle y_{2}=u_{2}+v_{3}=u_{1}\left(-{\frac {1}{2}}+i{\frac {\sqrt {3}}{2}}\right)+v_{1}\left(-{\frac {1}{2}}-i{\frac {\sqrt {3}}{2}}\right);} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/accb429647032ef774ba92d7f873976f1c78deb2 height: height attribute not set width: width attribute not set description: {\displaystyle y_{3}=u_{3}+v_{2}=u_{1}\left(-{\frac {1}{2}}-i{\frac {\sqrt {3}}{2}}\right)+v_{1}\left(-{\frac {1}{2}}+i{\frac {\sqrt {3}}{2}}\right).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a069a8a7c2e65140fa37a2f06dadfc44387efa24 height: height attribute not set width: width attribute not set description: {\displaystyle p(x)=ax^{3}+bx^{2}+cx+d=a(x-x_{1})(x-x_{2})(x-x_{3}).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c72149695fe22b0bfb9bbd6678654975183d22b3 height: height attribute not set width: width attribute not set description: {\displaystyle q={\frac {3ac-b^{2}}{3a^{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/09f0224abc1ad6c0dd84b8fa4acc75402c8b3eeb height: height attribute not set width: width attribute not set description: {\displaystyle p={\frac {9abc-27a^{2}d-2b^{3}}{27a^{3}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4f72d6b0bd3590be18729224414291e2d181120e height: height attribute not set width: width attribute not set description: {\displaystyle s={\sqrt[{3}]{{\frac {p}{2}}+{\sqrt {{\frac {q^{3}}{27}}+{\frac {p^{2}}{4}}}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c45262b551b97cc3fd4733b5b8e5364b10864ec8 height: height attribute not set width: width attribute not set description: {\displaystyle t={\sqrt[{3}]{{\frac {p}{2}}-{\sqrt {{\frac {q^{3}}{27}}+{\frac {p^{2}}{4}}}}}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/81b206fb7efdcf09cecb110d09e4543295673ef4 height: height attribute not set width: width attribute not set description: {\displaystyle p(x)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d91283d19c73223575d4ffb5d5f56701ee98ccc8 height: height attribute not set width: width attribute not set description: {\displaystyle x_{1}=s+t-{\frac {b}{3a}};} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/210ad78aae88ed57107765663f61cd7f0cb4fc7e height: height attribute not set width: width attribute not set description: {\displaystyle x_{2}=-{\frac {1}{2}}(s+t)-{\frac {b}{3a}}+{\frac {\sqrt {3}}{2}}(s-t)i;} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5c8b63c09ea69b277ebd744b0eef4bd09e83743b height: height attribute not set width: width attribute not set description: {\displaystyle x_{3}=-{\frac {1}{2}}(s+t)-{\frac {b}{3a}}-{\frac {\sqrt {3}}{2}}(s-t)i.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7ca49529daa895fe7cd4d5bffd122d616fb1ad03 height: height attribute not set width: width attribute not set description: {\displaystyle x_{k}=-{\frac {b}{3a}}-{\frac {q}{3tu_{k}}}+tu_{k},\qquad k\in \{1,2,3\},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7564cc890d6a915d93a57403b0583154375293e9 height: height attribute not set width: width attribute not set description: {\displaystyle u_{1}=1\ ,\qquad u_{2}={-1-i{\sqrt {3}} \over 2},\qquad u_{3}={-1+i{\sqrt {3}} \over 2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b2657d0b65b363616be0f18264ccfc414b977029 height: height attribute not set width: width attribute not set description: {\displaystyle x_{k}=-{\frac {1}{3a}}\left(b\ +\ u_{k}c\ +\ {\frac {\delta _{0}}{u_{k}c}}\right),\qquad k\in \{1,2,3\},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/39b4da50670e27b5c8f27514fa85dbf134f31e2e height: height attribute not set width: width attribute not set description: {\displaystyle c={\sqrt[{3}]{\frac {\delta _{1}+{\sqrt {\delta _{1}^{2}-4\delta _{0}^{3}}}}{2}}}=-3at,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d9367b2b8a0132bbf865c8d5fcc46daf5e8a0997 height: height attribute not set width: width attribute not set description: {\displaystyle \delta _{0}=b^{2}-3ac=-3a^{2}q;} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/77a5a628c0dca2ff4f158c3ffbea5283cafd7175 height: height attribute not set width: width attribute not set description: {\displaystyle \delta _{1}=2b^{3}-9abc+27a^{2}d=-27a^{3}r.} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/6/6c/vasisoluzionequazioneterzo_grado.gif/440px-vasisoluzionequazioneterzo_grado.gif height: 214 width: 440 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4c864462f7d6bda7015dffbbfeb51127294147e5 height: height attribute not set width: width attribute not set description: {\displaystyle ax^{3}+bx^{2}+cx+d=0,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1bcf2afec5a3b6c4b055fb05fda596ad0882b4e7 height: height attribute not set width: width attribute not set description: {\displaystyle a=1,b=0,c=1,d<0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6fd48a8463733e633697688ac6e467f38853db3b height: height attribute not set width: width attribute not set description: {\displaystyle k=-d} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b40f68315c250515e8b9c4220b56c5ba3029fef6 height: height attribute not set width: width attribute not set description: {\displaystyle x^{3}+x=k.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a7c6f8da98889bbb4d0e7c9601a62e9443cc5b04 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {r}{a}}={\sqrt {\frac {3}{\pi }}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/72be12b96541e7a8e6bb61e16c0e119cf4e6fd8c height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{cono}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/96a292bfe0ce753313b5ef6ea9d2743981ed003a height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{cilindro}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a height: height attribute not set width: width attribute not set description: {\displaystyle h} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/92e2030a28079e8609d19c3faab6b9e1a3bc5752 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{cilindro}}=h\cdot {\text{area}}_{\text{base}}=h\cdot 1=h,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b6eb10961deffdbd1f045c7eeefb1f063fc007a6 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{cono}}=\pi r^{2}{\frac {h}{3}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1a1c4f07cf3c8b3aaf776d2acf056b0dd52d99e8 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{cono}}=\pi \left(h{\sqrt {\frac {3}{\pi }}}\right)^{2}{\frac {h}{3}}=h^{3}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0ed69aebb27108e0d952eae0fea624730ed0fa89 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{tubo}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/12c608e8451efedf7372cb00d0ab9f1d2381c240 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{acqua}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/95cc43fae19ba351ac7638c70c245f7566e0dff9 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{acqua}}=v_{\text{cilindro}}+v_{\text{cono}}+v_{\text{tubo}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/83f40e9e954b61666c9b8cef04d17bc0131a0e65 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{acqua}}=h+h^{3}+v_{\text{tubo}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dc705a1d08b8ca8e50355f9d2c9148ace60ad6f4 height: height attribute not set width: width attribute not set description: {\displaystyle h^{3}+h=v_{\text{acqua}}-v_{\text{tubo}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bf892429dffd01db419155d242bf26919a792587 height: height attribute not set width: width attribute not set description: {\displaystyle k=v_{\text{acqua}}-v_{\text{tubo}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/52af922a76393becae370ef60a134c5493b430f2 height: height attribute not set width: width attribute not set description: {\displaystyle h^{3}+h=k.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/abf52bd4e1dc7541b5b6bb1e49a70fa84c6448b0 height: height attribute not set width: width attribute not set description: {\displaystyle r_{\text{cono}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e14b87c37fba539a69bce5855f6848e008b84275 height: height attribute not set width: width attribute not set description: {\displaystyle r_{\text{cilindro}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4 height: height attribute not set width: width attribute not set description: {\displaystyle x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/de848c4250197d4268075f9a73882719fdf7c55c height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {1}{3}}\pi {\frac {(r_{\text{cono}})^{2}}{h^{2}}}x^{3}+\pi (r_{\text{cilindro}})^{2}x=k.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3c87373634a98c42dd7b2db1fbd2287e440069e5 height: height attribute not set width: width attribute not set description: {\displaystyle ax^{3}+bx=c,\qquad {\text{con }}c>0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b30a086b57944121bb1de1fd00eb474d66eae60d height: height attribute not set width: width attribute not set description: {\displaystyle {\tfrac {bc}{a}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d5f1794883bed76a163667b173238be4dd876177 height: height attribute not set width: width attribute not set description: {\displaystyle ax^{3}+bx^{2}+cx+{\frac {bc}{a}}=0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f6db25aea9c8ec243b8e96ef67cc7ecb3375b0fe height: height attribute not set width: width attribute not set description: {\displaystyle ax^{3}+bx^{2}+cx+{\frac {bc}{a}}=a\left(x+{\frac {b}{a}}\right)\left(x^{2}+{\frac {c}{a}}\right).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a59c8ddda79b12ba9f7c0b09c29470a426c7c55e height: height attribute not set width: width attribute not set description: {\displaystyle x=-{\tfrac {b}{a}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1844bde80caf4f48b9cb88d76abf300843f53cc3 height: height attribute not set width: width attribute not set description: {\displaystyle {\tfrac {c}{a}}} |
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