Thread: quadratic equation for complex numbers

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

Thanks

Originally Posted by CarmineCortez

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

Thanks

You mean an equation of the form ?

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

.

Where:






You can show this by completing the square, which is how we derive the formula for real coefficients.

Originally Posted by CarmineCortez

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

Thanks

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.