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# Question

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Let $$z_1,z_2, andz_3$$ be complex numbers such that \begin{align} \overline{z_1}&=\dfrac{1}{z_1}\\ \overline{z_2}&=\dfrac{2}{z_2}\\ z_3&=z_1+z_2. \end{align}What is the product of the min and max of z_3?
I dont know where to start here.

Oct 21, 2022