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2005 AIME Problems
6
A Product of Nonreal Roots
A Product of Nonreal Roots
Source:
November 10, 2005
floor function
algebra
polynomial
quadratics
function
trigonometry
AMC
Problem Statement
Let
P
P
P
be the product of the nonreal roots of
x
4
−
4
x
3
+
6
x
2
−
4
x
=
2005
x^4-4x^3+6x^2-4x=2005
x
4
−
4
x
3
+
6
x
2
−
4
x
=
2005
. Find
⌊
P
⌋
\lfloor P\rfloor
⌊
P
⌋
.
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