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

(Problem)
(Problem)
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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 00:01, 25 July 2006

Problem

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

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

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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