If x = -1- -1- -1- , where is a non-real complex cube root of unity, then the value of x is...

Step-by-step solution

Given x = -1- -1- -1- Squaring both sides, we get: x^2 = -1 - -1- -1- x^2 = -1 - x x^2 + x + 1 = 0 Solving this quadratic equation, we get: x = -1 1 - 4 2 = -1 i 3 2 Thus, x = or x = ^2 , where is a non-real complex cube root of unity. Among the given options, ^2 is the correct choice. Answer: ^2