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Could someone explain the steps to do these problems please? Thanks!

 

Let z be a complex number, and let n be a positive integer such that z^n=(z+1)^n=1

 

a) Prove that |z|=|z+1|=1.

b) Find the possible values of z in exponential form.

c) Prove that n must be divisible by 6.

 Aug 24, 2024

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