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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 $

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  automatically generated 9/16/2009