Mathematics-Online lexicon: Quadratic Formula

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	Mathematics-Online lexicon:
	Quadratic Formula

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To solve an equation of the form

$\displaystyle ax^2+bx+c=0 \textnormal{, }\qquad a\not=0$

one uses the Quadratic Formula:

$\displaystyle x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

By means of the solutions, one can write the equation as decomposition into linear factors:

$\displaystyle a(x-x_{1})(x-x_{2})=0$

Example:

automatically generated 9/16/2009