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3
SMT 2007 Algebra #3
SMT 2007 Algebra #3
Source:
June 27, 2012
Problem Statement
Let
a
,
b
,
c
a, b, c
a
,
b
,
c
be the roots of
x
3
−
7
x
2
−
6
x
+
5
=
0
x^3-7x^2-6x+5=0
x
3
−
7
x
2
−
6
x
+
5
=
0
. Compute
(
a
+
b
)
(
a
+
c
)
(
b
+
c
)
(a+b)(a+c)(b+c)
(
a
+
b
)
(
a
+
c
)
(
b
+
c
)
.
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