Let z be a complex number, and let n be a positive integer

Last updated: 7/15/2022

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