# Complex Variables (Finding complex roots)

## Homework Statement

Find all solutions to (z2+1)2=-1

## The Attempt at a Solution

I know that because it is a polynomial of degree 4 it is a square inscribed inside of a circle in the complex plane. All i really need is one solution and from that finding the other three is easy. I have tried factoring it numerous ways. the best I get it to is

z2= i -1

thank you!

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LCKurtz
Homework Helper
Gold Member
Don't you get ##z^2=-1\pm i##? Do you know how to find the square roots of a complex number? That would give you your four roots.

Don't you get ##z^2=-1\pm i##? Do you know how to find the square roots of a complex number? That would give you your four roots.
wow i completely left of the ± that is my problem! Let me work it and ill report back, thank you!

got it,

±21/4*exp(i3$\pi$/8)
21/4*exp(i5$\pi$/8)

thank you again