# Need help solving a complex numbers problem

• Dec 2nd 2012, 03:21 PM
Slyy23
Need help solving a complex numbers problem
How do you graph 2((z+zbar)/2) + ((z-zbar)/2i) = 5 ?
I've been stuck on this problem where z is a complex number z=x+iy and zbar is the conjugate of z. A little help would be very appreciated thanks in advance (:
• Dec 2nd 2012, 03:25 PM
Prove It
Re: Need help solving a complex numbers problem
One possibility is to set \displaystyle \displaystyle \begin{align*} z = x + i\,y \end{align*} so that \displaystyle \displaystyle \begin{align*} \overline{z} = x - i\,y \end{align*}. Substitute these into your equation and see if you can solve for x and y...
• Dec 2nd 2012, 04:04 PM
Slyy23
Re: Need help solving a complex numbers problem
Thanks :) I tried doing what you said and it's more simple than I thought unless I didn't do the right thing... I got y=-2x+5
• Dec 2nd 2012, 04:06 PM
Prove It
Re: Need help solving a complex numbers problem
I get that as well. So it's obviously a line in the complex plane that contains all the points satisfying the given equation :)