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

(→Problem) |
(→Problem) |
||

Line 2: | Line 2: | ||

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]]) |