+0  
 
0
433
2
avatar

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
avatar
0

This is obvious if you use exponential notation.

 Jan 5, 2022
 #2
avatar
0

can you please elaborate?

Guest Jan 11, 2022

3 Online Users

avatar