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A6
2008 PUMaC Algebra A6
2008 PUMaC Algebra A6
Source:
September 24, 2019
algebra
Problem Statement
Let
x
x
x
be the largest root of
x
4
−
2009
x
+
1
x^4 - 2009x + 1
x
4
−
2009
x
+
1
. Find the nearest integer to
1
x
3
−
2009
\frac{1}{x^3-2009}
x
3
−
2009
1
.
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