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Mock AIME 2 2006-2007 Problems/Problem 11

Revision as of 13:57, 16 December 2007 by Temperal (talk | contribs) (get rid of comment)

Problem

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

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

Solution

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


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