Powers and roots of complex numbers

9000034301

Level:

Find the solution set of the following equation in the set of complex numbers.

x^{3} - 1 = 0

{1; - \frac{1}{2} + i \frac{\sqrt{3}}{2}; - \frac{1}{2} - i \frac{\sqrt{3}}{2}}

{1; - 1 + i \sqrt{3}; - 1 - i \sqrt{3}}

{1; - \frac{1}{2} + i \frac{\sqrt{3}}{2}}

{1; - \frac{1}{2} - i \frac{\sqrt{3}}{2}}