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Thread: need help on a problem

  1. #1
    Junior Member
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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.
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  2. #2
    Master Of Puppets
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    $\displaystyle z = 1, -1, -i$ and $\displaystyle i$

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