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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 in exponential form.

c) Prove that must be divisible by 6.

 Jan 5, 2022
 #1
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This is obvious if you use exponential notation.

 Jan 5, 2022
 #2
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can you please elaborate?

Guest Jan 11, 2022

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