Mock AIME 2 2006-2007 Problems/Problem 11: Difference between revisions
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==See also== | ==See also== | ||
*[[Mock AIME 2 2006-2007/Problem 10 | Previous Problem]] | *[[Mock AIME 2 2006-2007 Problems/Problem 10 | Previous Problem]] | ||
*[[Mock AIME 2 2006-2007/Problem 12 | Next Problem]] | *[[Mock AIME 2 2006-2007 Problems/Problem 12 | Next Problem]] | ||
*[[Mock AIME 2 2006-2007]] | *[[Mock AIME 2 2006-2007]] | ||
Revision as of 14:33, 3 April 2012
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)
