If z2+zˉ2=0z^2 + \bar{z}^2 = 0z2+zˉ2=0, what does this imply about the argument of zzz?
arg(z) = \pi/4 + k\pi/2
arg(z) = \pi/2 + k\pi
arg(z) = k\pi
arg(z) = \pi/8 + k\pi/4