2000002606

SubArea: 
Powers and roots of complex numbers
Level: 
B
Project ID: 
2000002606
Accepted: 
0
Clonable: 
0
Easy: 
1
Imagine all the solutions of the equation x6−64=0 shown as points in the complex plane. Find the false statement.
Two points lie on the imaginary axis.
The values of the arguments of any two solutions differ by an integer multiple of π3.
All solutions of the equation lie on a circle centered at the origin with a radius of 2.
Two points lie on the real axis.