How many real and imaginary solutions of the equation X13 equals 1?
There is one and only one real solution, and no imaginary
solutions, of the equation x13 = 1.
The solution is x = 1.
If x = -1 then x13 = -1, so that does not work.
If x = i, then x13 = -i, so that does not work.
If x = -i, then x13 = -i, so that does not work.