The problem in question here is- "Solve this equation over C: Z2+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=-i and Z=-1-i
Any help much appreciated, thank-you