2000002602

SubArea: 
Powers and roots of complex numbers
Level: 
B
Project ID: 
2000002602
Accepted: 
0
Clonable: 
0
Easy: 
1
Consider the equation x4=1, where x is a complex variable. Which of the following statements is true?
The equation has four different complex roots.
The equation has no real root.
The equation has two double roots: x1,2=1 and x3,4=−1.
The equation has the root x=1+i.