Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 11"

Revision as of 15:30, 3 April 2012

Find the sum of the squares of the roots, real or complex, of the system of simultaneous equations

$x+y+z=3,~x^2+y^2+z^2=3,~x^3+y^3+z^3 =3.$

The roots are $x$ , $y$ , and $z$ , and we add the squares:

$x^2+y^2+z^2=\boxed{003}$

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