https://hi.bharatpedia.org/w/index.php?action=history&feed=atom&title=%E0%A4%98%E0%A4%A8_%E0%A4%AB%E0%A4%B2%E0%A4%A8घन फलन - अवतरण इतिहास2026-08-21T15:01:18Zविकि पर उपलब्ध इस पृष्ठ का अवतरण इतिहासMediaWiki 1.43.6https://hi.bharatpedia.org/w/index.php?title=%E0%A4%98%E0%A4%A8_%E0%A4%AB%E0%A4%B2%E0%A4%A8&diff=2521&oldid=previmported>InternetArchiveBot: Rescuing 12 sources and tagging 0 as dead.) #IABot (v2.0.12020-06-14T19:53:42Z<p>Rescuing 12 sources and tagging 0 as dead.) #IABot (v2.0.1</p>
<p><b>नया पृष्ठ</b></p><div>[[चित्र:Polynomialdeg3.svg|thumb|right|200px|किसी घन फलन (जिसके तीनों मूल वास्तविक हैं) का आरेख]]<br />
[[गणित]] में निम्नलिखित स्वरूप वाले [[फलन]] को '''घन फलन''' (cubic function) या "त्रिघाती बहुपद" कहते हैं :<br />
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:<math>f(x)=ax^3+bx^2+cx+d,\,</math><br />
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यहाँ ''a'' अशून्य संख्या है। <br />
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यह मानते हुए कि ''a''&nbsp;≠&nbsp;0 तथा ''&fnof;''(''x'')&nbsp;=&nbsp;0 करने पर एक घन [[समीकरण]] बनता है। निम्नलिखित समीकरण एक घन समीकरण है:<br />
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:<math>ax^3+bx^2+cx+d=0.\,</math><br />
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उपरोक्त समीकरण के गुणांक ''a'', ''b'',''c'', ''d'' प्राय: [[वास्तविक संख्या|वास्तविक संख्याएँ]] होतीं हैं।<br />
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== बाहरी कड़ियाँ ==<br />
* [https://web.archive.org/web/20151003225020/http://ganitanjali.blogspot.in/2015/07/cubic-equation.html त्रिघातीय समीकरण]<br />
* [https://web.archive.org/web/20100308110647/http://www.freewebs.com/brianjs/ultimateequationsolver.htm Calculator for solving Cubics (also solves Quartics and Quadratics)]<br />
* [https://web.archive.org/web/20070930030703/http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=1345&bodyId=1491 Tartaglia's work (and poetry) on the solution of the Cubic Equation] at [https://web.archive.org/web/20060212072618/http://mathdl.maa.org/convergence/1/ Convergence]<br />
* [https://web.archive.org/web/20091029025115/http://www.akiti.ca/Quad3Deg.html Cubic Equation Solver].<br />
* [https://web.archive.org/web/20071217223051/http://www-history.mcs.st-and.ac.uk/history//HistTopics/Quadratic_etc_equations.html Quadratic, cubic and quartic equations] on [[MacTutor archive]].<br />
* {{planetmath reference|id=1407|title=Cubic Formula}}<br />
* [https://web.archive.org/web/20090108185213/http://www25.brinkster.com/denshade/cardano.html Cardano solution calculator as java applet] at some local site. Only takes natural coefficients.<br />
* [https://web.archive.org/web/20091016082443/http://www.mathopenref.com/cubicexplorer.html Graphic explorer for cubic functions] With interactive animation, slider controls for coefficients<br />
* [https://web.archive.org/web/20091229074727/http://numericalmethods.eng.usf.edu/mws/gen/03nle/mws_gen_nle_bck_exactcubic.pdf On Solution of Cubic Equations] at Holistic Numerical Methods Institute<br />
* [http://arxiv.org/abs/math.HO/0310449 Dave Auckly, Solving the quartic with a pencil] American Math Monthly 114:1 (2007) 29—39<br />
* [https://web.archive.org/web/20100216182125/http://demonstrations.wolfram.com/CubicEquation/ "Cubic Equation"] by [[Eric W. Weisstein]], [[The Wolfram Demonstrations Project]], 2007.<br />
* [https://web.archive.org/web/20110718201453/http://math.kennesaw.edu/~mdevilli/affinecubic.html The affine equivalence of cubic polynomials] at [https://web.archive.org/web/20090321024112/http://math.kennesaw.edu/~mdevilli/JavaGSPLinks.htm Dynamic Geometry Sketches]<br />
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[[श्रेणी:बीजगणित]]<br />
[[श्रेणी:समीकरण]]</div>imported>InternetArchiveBot