2012 AIME II Problems/Problem 8
Revision as of 16:08, 31 March 2012 by Williamhu888 (talk | contribs) (Created page with "== Problem 8 == The complex numbers <math>z</math> and <math>w</math> satisfy the system <cmath> z + \frac{20i}w = 5+i \ \ w+\frac{12i}z = -4+10i </cmath> Find the smallest pos...")
Problem 8
The complex numbers 
and 
satisfy the system ![\[z + \frac{20i}w = 5+i \\ \\ w+\frac{12i}z = -4+10i\]](http://latex.artofproblemsolving.com/a/8/8/a8862654235e060c0fc69dd97636c08c0755403e.png)
Find the smallest possible value of 
.
