Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 11"
(→Problem) |
|||
Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
+ | 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> | ||
+ | |||
+ | == 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]]) |