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I am not sure how to handle this situation with complex numbers. Can you help?

Q = A^2 + ABi

Where Q is a complex number.

Can we not solve for A if we know Q and Bi using a quadratic equation?

0 = A^2 + ABi + -Q

Let...

Q = 455

Bi = -22

And in this case I do know that A = 35. However...

When,

a = 1

b = -22

c = -455

Solving...

A = ( -1 +/- Sqrt { 1 - ( 4 * -22 * -455 )}) / 2

I do not get A = 35. Any idea why and what I may be doing wrong?

Thanks,

Jeff

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# Having trouble with complex quadratic equations

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