The problem says: Find all solutions z of the equation: z^6 - 4z^3 + 4 = i(adsbygoogle = window.adsbygoogle || []).push({});

First I factored the equation into (z^3 -2)^2 = i, set w= z^3 -2 and solved w^2 = i for w_1 = sqrt(i) and w_2 = -sqrt(i). I tried setting z^3 - 2 = sqrt(i) and solving but I get stuck there. I really have no idea how to go about this.

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# Solving a complex equation

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