Let \( \bar{Z} \) denote the complex conjugate of a complex number \( z \) and let \( i=\sqrt{-1...

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Let \( \bar{Z} \) 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 \( \bar{z}-z^{2}=i\left(\bar{z}+z^{2}\right) \) is
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