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Math Help - quadratic equation for complex numbers

  1. #1
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    quadratic equation for complex numbers

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

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    Quote Originally Posted by CarmineCortez View Post
    what is the quadratic equaiton for a quadratic polynomial with complex constants?

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    You mean an equation of the form  Aix^2+Bix+Ci =0 ?

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

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

    Where:
     a = Ai

     b = Bi

     c = Ci

    You can show this by completing the square, which is how we derive the formula for real coefficients.
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  3. #3
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    Quote Originally Posted by CarmineCortez View Post
    what is the quadratic equaiton for a quadratic polynomial with complex constants?

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    The same as it is when the coefficients are real. It doesn't matter that one or more of a, b and c are not real.
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