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Difference between revisions of "Biquadratic equation"

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An equation of the type
 
An equation of the type
  
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<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b016/b016480/b0164801.png" /></td> </tr></table>
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$$ax^4+bx^2+c=0,$$
  
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where <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b016/b016480/b0164802.png" /> are given complex numbers and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b016/b016480/b0164803.png" />. The substitution <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b016/b016480/b0164804.png" /> converts a biquadratic equation into a [[Quadratic equation|quadratic equation]].
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where $a,b,c$ are given complex numbers and $a\neq0$. The substitution $y=x^2$ converts a biquadratic equation into a [[Quadratic equation|quadratic equation]].

Latest revision as of 13:23, 9 April 2014

An equation of the type

$$ax^4+bx^2+c=0,$$

where $a,b,c$ are given complex numbers and $a\neq0$. The substitution $y=x^2$ converts a biquadratic equation into a quadratic equation.

How to Cite This Entry:
Biquadratic equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Biquadratic_equation&oldid=31441
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