Difference between revisions of "1996 AIME Problems/Problem 5"
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== Problem == | == Problem == | ||
| − | + | 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 == | ||
{{solution}} | {{solution}} | ||
== See also == | == See also == | ||
* [[1996 AIME Problems]] | * [[1996 AIME Problems]] | ||
Revision as of 15:48, 24 September 2007
Problem
Suppose that the roots of 
are 
, 
, and 
, and that the roots of 
are 
, 
, and 
. Find 
.
Solution
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