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 $\vert zw\vert^2$ .

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

Page

Toolbox

Search

2012 AIME II Problems/Problem 8

Problem 8

Solution

See also