Complexs equation

**fredrikhoeg** · August 27th 2011, 03:07 AM

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

**FernandoRevilla** · August 27th 2011, 06:04 AM

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.

**fredrikhoeg** · August 27th 2011, 07:11 AM

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

**fredrikhoeg** · August 27th 2011, 07:13 AM

Never mind, forgot the definition of the imaginary part

Thread: Complexs equation