2003 AIME II Problems/Problem 15
Problem
Let
![$P(x) = 24x^{24} + \sum_{j = 1}^{23}(24 - j)(x^{24 - j} + x^{24 + j}).$](http://latex.artofproblemsolving.com/a/d/b/adb0a8bb705a8514b88ca50f80f549d9059435eb.png)
Let be the distinct zeros of
and let
for
where
and
and
are real numbers. Let
![$\sum_{k = 1}^{r}|b_{k}| = m + n\sqrt {p},$](http://latex.artofproblemsolving.com/b/6/9/b6959c0d9b67d1a2d6914af2b95338ccf226924b.png)
where
and
are integers and
is not divisible by the square of any prime. Find
Solution
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See also
2003 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Last Question | |
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All AIME Problems and Solutions |