# Thread: need help on a problem

1. ## need help on a problem

Find all $Z\in\mathbb{C}$ such that $z^{4}=1$.
Im assuming that z=a+bi, w\ $a,b\in\mathbb{R}$, and the only number that will work is a=0 and b=1 with $(0+i)^{4}$ therefore is 1.

2. $z = 1, -1, -i$ and $i$

The first two factors are $\in \mathbb{Z}$