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 ____ [JEE Adv 2022 P1]

Complex Numbers

Section: Mathematics

Question : 8 of 36

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Let z denote the complex conjugate of a complex number z and let i=√−1. In the set of complex numbers, the number of distinct roots of the equation
z−z2=i(z+z2)
is ____

[JEE Adv 2022 P1]

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