Mock AIME 2 2006-2007 Problems/Problem 11

Problem

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

Solution

The sums of the squares of the roots is given in the problem; 3.

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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. ) This problem is also incredibly similar to 1973 USAMO problem 4.