- #1
DryRun
Gold Member
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- 4
Homework Statement
Find roots of complex equation (1-x)^5 = x^5
Homework Equations
Probably Euler and/or De Moivre.
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).