Difference between revisions of "1996 AIME Problems/Problem 5"

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== Problem ==
 
== Problem ==
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Suppose that the roots of <math>x^3+3x^2+4x-11=0</math> are <math>a</math>, <math>b</math>, and <math>c</math>, and that the roots of <math>x^3+rx^2+sx+t=0</math> are <math>a+b</math>, <math>b+c</math>, and <math>c+a</math>. Find <math>t</math>.
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== Solution ==
 
== Solution ==
 
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== See also ==
 
== See also ==
 
* [[1996 AIME Problems]]
 
* [[1996 AIME Problems]]

Revision as of 14:48, 24 September 2007

Problem

Suppose that the roots of $x^3+3x^2+4x-11=0$ are $a$, $b$, and $c$, and that the roots of $x^3+rx^2+sx+t=0$ are $a+b$, $b+c$, and $c+a$. Find $t$.

Solution

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See also