Hey guys,

The problem in question here is- "Solve this equation over C: Z^{2}+Z+(1-i) "

I have tried completing the square, and ended up with: (Z+1/2)^{2 }- (-3+4i)/4 = 0

This doesn't seem very helpful, because when I go to factorise, I end up with sqrt(-3+4i)/2, which seems unable to be simplified.

Using the quadratic equation yields the same result :/

The solution answers are: Z=-iand Z=-1-i

Any help much appreciated, thank-you

Smeato