Let z denote the complex conjugate of a complex number z and let i

Question

Let \(\overline {z}\) denote the complex conjugate of a complex number z and let i = \(\sqrt{-1}\) . In the set of complex numbers, the number of distinct roots of the equation \(\overline{z}-z^2\) = i \((\overline{z}+z^2)\) is _____.

Answer 1

∴ 4 solutions are possible.