I've been having problems with this question - it's simple enough to solve, just that I don't seem to get the provided answers (which I suspect might be wrong).

Find the roots of (z - 2i)^5 = 1

The answers given are

root(3/2) +/- 3/2 i,

root(3) - 3/2 i

[root(3/2) - 3] + 3i

Yes apparently there are only 4 roots given, is there something seriously wrong with the answers provided?

Many thanks.