olymmath

AIME 2012b Problem 8

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The complex numbers zz and ww satisfy the system z+20iw=5+iz + \frac{20i}w = 5+i w+12iz=−4+10iw+\frac{12i}z = -4+10i Find the smallest possible value of ∣zw∣2\vert zw\vert^2.

Dataset text AIME 1983 to 2026. Quoted with source.

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