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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

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