Let z denote the complex conjugate|Maths | JEE ADVANCED 2022

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Let 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 $$ \left.\bar{z}-z^2=i \underline{\bar{z}( }+z^2\right) $$ is $\_\_\_\_$ .

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