Hi. Im supposed to find every complex number z, so that Im(-z+1)= (z+1)^2
Denote $\displaystyle z=x+iy$ with $\displaystyle x,y\in\mathbb{R}$ . Then, $\displaystyle \textrm{Im}(-z+1)=\textrm{Im}(-x-iy+1)=-y$ . Now, $\displaystyle (z+1)^2=\ldots$ etc. Show some work.