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

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== Problem == | == Problem == | ||

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

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+ | <math>x+y+z=3, x^2+y^2+z^2=3,x^3+y^3+z^3 =3.</math> | ||

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+ | == Problem Source== | ||

+ | This problem was given to 4everwise by a friend, Henry Tung. Upper classmen bullying freshmen. (Just kidding; it's a nice problem. [[Image:Razz.gif]]) |