Complex Algebra/Examples/(z-1)^6 + (z+1)^6 = 0

Example of Complex Algebra
The roots of the equation:
 * $\paren {z - 1}^6 + \paren {z + 1}^6 = 0$

are:
 * $\pm i \cot \dfrac \pi {12}, \pm i \cot \dfrac {5 \pi} {12}, \pm i$