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

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== See also ==
 
== See also ==
* [[1996 AIME Problems]]
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*[[1996 AIME Problems]]
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{{AIME box|year=1996|num-b=4|num-a=6}}

Revision as of 15:56, 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

1996 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions