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

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== Problem ==
 
== Problem ==
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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==
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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]])

Revision as of 00:00, 25 July 2006

Problem

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

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

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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