Solve the equation : z^{6}-1=[64j(1-j)/(1+2j)]^6 giving your answers in the form of a + jb. Show that there can be only be 8 distinct roots.

Solve the equation : z^{6}-1=[64j(1-j)/(1+2j)]^6 giving your answers in the form of a + jb. Show that there can be only be 8 distinct roots.


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