Question

Easy easy, a quick challenge question.
x=x^4
list all possible x values

Answer 1

write it as
x^4 - x = 0

factor out x
x( x^3 - 1) = 0

x=0 and x^3= 1
now find the 3 roots of 1. If you accept complex numbers, there are 3 roots

Answer 2

yes complex numbers too

Answer 3

what about x=x^5

Answer 4

same idea
x^5-x=0
x(x^4-1)=0
x=0 and x^4-1=0
x^4=1
now find the 4 roots of 1. 1 and -1 are two of them, i and -i are the other two