Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 11"
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==Solution== | ==Solution== | ||
| − | The roots are x, y, and z, and we add the squares: | + | The roots are <math>x</math>, <math>y</math>, and <math>z</math>, and we add the squares: |
<cmath>x^2+y^2+z^2=\boxed{003}</cmath> | <cmath>x^2+y^2+z^2=\boxed{003}</cmath> | ||
Revision as of 11:01, 10 February 2008
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)
