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# question

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Let $$z_1,z_2$$, and $$z_3$$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 minimum and maximum possible values of |$$z_3$$|.

Could someone point me in the righr direction? Thanks

Oct 23, 2022