Find all $\displaystyle Z\in\mathbb{C}$ such that $\displaystyle z^{4}=1$.

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

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- Sep 13th 2009, 09:48 PM #1

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## need help on a problem

Find all $\displaystyle Z\in\mathbb{C}$ such that $\displaystyle z^{4}=1$.

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

- Sep 13th 2009, 09:59 PM #2