Question

find all complex numbers z satisfying
z^3 = -27i in the form a + bi.

Answers are posted below

Answer 1

\[z = 3i\]
\[z =\frac{ -3\sqrt{3} }{ 2 } - \frac{ 3i }{ 2}\]
\[z = \frac{ 3\sqrt{3} }{ 2} - \frac{ 3i }{ 2 }\]