Mock AIME 2 2006-2007 Problems/Problem 11
Revision as of 14:30, 3 April 2012 by 1=2 (talk | contribs) (moved Mock AIME 2 2006-2007/Problem 11 to Mock AIME 2 2006-2007 Problems/Problem 11)
Problem
Find the sum of the squares of the roots, real or complex, of the system of simultaneous equations
Solution
The roots are 
, 
, and 
, and we add the squares:
![\[x^2+y^2+z^2=\boxed{003}\]](http://latex.artofproblemsolving.com/3/d/a/3da4045aa2f27c71d36e065dcea56e174350573a.png)
