(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find roots of complex equation (1-x)^5 = x^5

2. Relevant equations

Probably Euler and/or De Moivre.

3. The attempt at a solution

I know i need to have z^5 on one side and all the rest on the other side. But i need 5 roots, and i'm only getting one.

(1-x)^5 = x^5

Use fifth root on both sides.

(1-x) = x

2x= 1

x = 1/2 (only one solution, which i know is wrong, but no idea how to proceed).

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# Homework Help: Find roots of complex equation (1-x)^5 = x^5

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