# Find all the complex solutions

• Aug 19th 2009, 01:25 AM
$z^7=i\Rightarrow z^7=\cos\frac{\pi}{2}+i\sin\frac{\pi}{2}$
Then, $z_k=\cos\frac{\frac{\pi}{2}+2k\pi}{7}+i\sin\frac{\ frac{\pi}{2}+2k\pi}{7}, \ k=0,1,\ldots ,6$