2012 AIME II Problems/Problem 8

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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 $\vert zw\vert^2$.


Solution

See also

2012 AIME II (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
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