## Problem with complex numbers

For students of class 9-10 (age 14-16)
simplythebest
Posts: 2
Joined: Thu Mar 01, 2018 3:19 pm

### Problem with complex numbers

Let be $z_1,z_2,z_3 \in \mathbb{C}$ such that $z_1+z_2+z_3=z_1^7+z_2^7+z_3^7=0.$ Prove that: $|z_1|=|z_2|=|z_3|.$