# 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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