Let denote the complex number of and let

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

Let

\Sigma

denote the complex number of

z

and let

i = \sqrt{-1}

. In the set of complex numbers, the number of distinct roots of the equation

\bar{z} - z^2 = i(\bar{z} + z^2)

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