Show that z is real iff 𝑧=conjugate(𝑧).

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Hello, thanks for your video. I have a question : when I do it in cartesian form, I have the right answer (2ib=0 -> imaginary = 0)

But when I do it in Polar form, I have e^(i*2*Theta) = 1. How can I know that I have infty of solutions by Looking at this polar form ? Thanks !

y.