what is the quadratic equaiton for a quadratic polynomial with complex constants?

Thanks

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- Jan 15th 2009, 06:53 PMCarmineCortezquadratic equation for complex numbers
what is the quadratic equaiton for a quadratic polynomial with complex constants?

Thanks - Jan 15th 2009, 07:31 PMMush
You mean an equation of the form $\displaystyle Aix^2+Bix+Ci =0$ ?

It's the exact same as quadratic equation with real coefficients.

$\displaystyle \frac{-b \pm \sqrt{b^2-4ac}}{2a}$.

Where:

$\displaystyle a = Ai $

$\displaystyle b = Bi $

$\displaystyle c = Ci $

You can show this by completing the square, which is how we derive the formula for real coefficients. - Jan 15th 2009, 08:00 PMmr fantastic