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9
SMT 2009 Algebra 9
SMT 2009 Algebra 9
Source:
December 27, 2011
Problem Statement
All of the roots of
x
3
+
a
x
2
+
b
x
+
c
x^3+ax^2+bx+c
x
3
+
a
x
2
+
b
x
+
c
are positive integers greater than
2
2
2
, and the coefficients satisfy
a
+
b
+
c
+
1
=
ā
2009
a+b+c+1=-2009
a
+
b
+
c
+
1
=
ā
2009
. Find
a
a
a
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