Mock AIME 2 2006-2007 Problems/Problem 11: Difference between revisions
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Find the sum of the squares of the roots, real or complex, of the system of simultaneous equations | Find the sum of the squares of the roots, real or complex, of the system of simultaneous equations | ||
<math>x+y+z=3, x^2+y^2+z^2=3,x^3+y^3+z^3 =3.</math> | <math>\displaystyle x+y+z=3,~x^2+y^2+z^2=3,~x^3+y^3+z^3 =3.</math> | ||
== Problem Source== | == 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]]) | 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 23:01, 24 July 2006
Problem
Find the sum of the squares of the roots, real or complex, of the system of simultaneous equations
Problem Source
This problem was given to 4everwise by a friend, Henry Tung. Upper classmen bullying freshmen. (Just kidding; it's a nice problem. Error creating thumbnail: Unable to save thumbnail to destination)
