1. ## Complexs equation

Hi. Im supposed to find every complex number z, so that Im(-z+1)= (z+1)^2
Im new to the course, so would be good with some guidelines

2. ## Re: Complexs equation

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

3. ## Re: Complexs equation

Why is Im(-x-iy+1)=-y?

4. ## Re: Complexs equation

Never mind, forgot the definition of the imaginary part