(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

z+(conjugate of z)^2=4

2. Relevant equations

z = x+iy

(x+iy)+(x-iy)^2=4

3. The attempt at a solution

the solutions give (x+iy)+(x-iy)^2= x + x^2 - y^2. how do they reach that?

I get (x+iy)+(x-iy)^2 = x + iy + x^2 -2xiy + i^2*y^2.

I think the question is the ( conjugate of z )^2. e.g. z with the line on top of it and that squared.

Thanks!

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# Homework Help: Simple complex numbers question

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