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

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<math>\displaystyle 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>
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==Solution==
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{{solution}}
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----
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*[[Mock AIME 2 2006-2007/Problem 10 | Previous Problem]]
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*[[Mock AIME 2 2006-2007/Problem 12 | Next Problem]]
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*[[Mock AIME 2 2006-2007]]
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== 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 19:49, 22 August 2006

Problem

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

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

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.



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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