solve in complex numbers

zezo

New member
Joined
May 20, 2020
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3
Hi, I need help solving this problem:
Find all values of z such that (? + ?)6 = (? + ?)?6
 
You didn't say where you are stuck.

Hint: Express 1 + i in polar form. Then take the 6th root of both sides.

-Dan
 
@topsquark thank you for the hint it was really helpful.
here is the solution I came up with
 

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