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# Algebra help

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Let $$\alpha \neq 1$$ be a complex number such that the distance from $$\alpha^2$$ to 1 is twice the distance from $$\alpha$$ to 1, while the distance from $$\alpha^4$$ to 1 is four times the distance from $$\alpha$$ to 1. Enter all possible values of $$\alpha$$, separated by commas.

Any help would be appreciated!!

Feb 5, 2021