Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 2"
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== Problem == | == Problem == | ||
The set <math>\displaystyle S</math> consists of all integers from <math>\displaystyle 1</math> to <math>\displaystyle 2007,</math> inclusive. For how many elements <math>\displaystyle n</math> in <math>\displaystyle S</math> is <math>\displaystyle f(n) = \frac{2n^3+n^2-n-2}{n^2-1}</math> an integer? | The set <math>\displaystyle S</math> consists of all integers from <math>\displaystyle 1</math> to <math>\displaystyle 2007,</math> inclusive. For how many elements <math>\displaystyle n</math> in <math>\displaystyle S</math> is <math>\displaystyle f(n) = \frac{2n^3+n^2-n-2}{n^2-1}</math> an integer? | ||
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| + | ==Solution== | ||
| + | {{solution}} | ||
| + | |||
| + | ---- | ||
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| + | *[[Mock AIME 2 2006-2007/Problem 1 | Previous Problem]] | ||
| + | |||
| + | *[[Mock AIME 2 2006-2007/Problem 3 | Next Problem]] | ||
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| + | *[[Mock AIME 2 2006-2007]] | ||
Revision as of 19:46, 22 August 2006
Problem
The set 
consists of all integers from 
to 
inclusive. For how many elements 
in is 
an integer?
Solution
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