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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
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The answer is 9/16

 Oct 23, 2022

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