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

Find all complex solutions to

z^2 = z conjugate

i.e. (a+bi)^2 = a-bi

The attempt at a solution

First attempt:

factoring out (a+bi)^2 = a-bi

leads nowhere.

Second attempt:

r^2 (cos2v + isin2v) = r (cos-v + isin-v)

r must be 1.

2v = -v + 2∏n

3v = 2∏n

v= 2∏n/3

But that isn't the case.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Z^2 = z conjugate

**Physics Forums | Science Articles, Homework Help, Discussion**