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Question

Mathematics Question on complex numbers

Let zˉ\bar{z} denote the complex conjugate of a complex number zz and let i=1i=\sqrt{-1} In the set of complex numbers, the number of distinct roots of the equation zˉz2=i(zˉ+z2)\bar{z}-z^2=i\left(\bar{z}+z^2\right) is ___

Answer

Answer: 4.00