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## Homework Statement

Find all solutions to (z

^{2}+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

z

^{2}= i -1

thank you!