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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 \(|z_3|\)

 Oct 22, 2022
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The product we are interested in is 12/7.

 Oct 22, 2022

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