200 days streak special 3

Algebra Level 4

Let \(z_1\) and \(z_2\) be two given complex numbers such that \(\dfrac{z_1}{z_2} + \dfrac{z_2}{z_1} = 1 \) and \(|z_1| = 3\). Compute \(|z_1 - z_2|^2\).

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