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 \(|z_3|\)
The product we are interested in is 12/7.
