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)
Lol
See Also
http://www.artofproblemsolving.com/Wiki/index.php/1973_USAMO_Problems/Problem_4
| Mock AIME 2 2006-2007 (Problems, Source) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
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