1. The problem statement, all variables and given/known data z+(conjugate of z)^2=4 2. Relevant equations z = x+iy (x+iy)+(x-iy)^2=4 3. The attempt at a solution the solutions give (x+iy)+(x-iy)^2= x + x^2 - y^2. how do they reach that? I get (x+iy)+(x-iy)^2 = x + iy + x^2 -2xiy + i^2*y^2. I think the question is the ( conjugate of z )^2. e.g. z with the line on top of it and that squared. Thanks!