Mock AIME 2 2006-2007 Problems/Problem 11

Revision as of 00:01, 25 July 2006 by 4everwise (talk | contribs) (Problem)

Problem

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

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

Problem Source

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

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