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.

This is obvious if you use exponential notation.

can you please elaborate?