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Math Help - need help on a problem

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

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