# Difference between revisions of "2012 AIME II Problems/Problem 8"

## Problem 8

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

## See also

 2012 AIME II (Problems • Answer Key • Resources) Preceded byProblem 7 Followed byProblem 9 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 All AIME Problems and Solutions
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