# Complexs equation

• August 27th 2011, 04:07 AM
fredrikhoeg
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:)
• August 27th 2011, 07:04 AM
FernandoRevilla
Re: Complexs equation
Quote:

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.
• August 27th 2011, 08:11 AM
fredrikhoeg
Re: Complexs equation
Why is Im(-x-iy+1)=-y?
• August 27th 2011, 08:13 AM
fredrikhoeg
Re: Complexs equation
Never mind, forgot the definition of the imaginary part