Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 11"
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==Solution== | ==Solution== | ||
| − | The | + | The roots are x, y, and z, and we add the squares: |
| + | <cmath>x^2+y^2+z^2=\boxed{003}</cmath> | ||
| − | + | ==See also== | |
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*[[Mock AIME 2 2006-2007/Problem 10 | Previous Problem]] | *[[Mock AIME 2 2006-2007/Problem 10 | Previous Problem]] | ||
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*[[Mock AIME 2 2006-2007/Problem 12 | Next Problem]] | *[[Mock AIME 2 2006-2007/Problem 12 | Next Problem]] | ||
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*[[Mock AIME 2 2006-2007]] | *[[Mock AIME 2 2006-2007]] | ||
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 x, y, and z, and we add the squares:
![\[x^2+y^2+z^2=\boxed{003}\]](http://latex.artofproblemsolving.com/3/d/a/3da4045aa2f27c71d36e065dcea56e174350573a.png)
