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What is the smallest positive integer $n$ such that all the roots of $z^4+z^2+1=0$ are $n^{th}$ roots of unity?

 Apr 2, 2021
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z^4 + z^2 + 1 is a factor of z^24 - 1, so the answer is n = 24.

 Apr 2, 2021
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It says the solution is incorrect, but it won't give me the full answer. Can you show me all your work so I can look for mistakes?

RiemannIntegralzzz  Apr 2, 2021

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