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1999 Harvard-MIT Mathematics Tournament
8
1999 HMMT Team #8
1999 HMMT Team #8
Source:
March 8, 2024
algebra
Problem Statement
Find all the roots of
(
x
2
+
3
x
+
2
)
(
x
2
−
7
x
+
12
)
(
x
2
−
2
x
−
1
)
+
24
=
0
(x^2 + 3x + 2)(x^2 - 7x + 12)(x^2- 2x -1) + 24 = 0
(
x
2
+
3
x
+
2
)
(
x
2
−
7
x
+
12
)
(
x
2
−
2
x
−
1
)
+
24
=
0
.
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