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2007 Stanford Mathematics Tournament
1
SMT 2007 Team #1
SMT 2007 Team #1
Source:
June 30, 2012
Problem Statement
How many rational solutions for
x
x
x
are there to the equation
x
4
+
(
2
−
p
)
x
3
+
(
2
−
2
p
)
x
2
+
(
1
−
2
p
)
x
−
p
=
0
x^4+(2-p)x^3+(2-2p)x^2+(1-2p)x-p=0
x
4
+
(
2
−
p
)
x
3
+
(
2
−
2
p
)
x
2
+
(
1
−
2
p
)
x
−
p
=
0
if
p
p
p
is a prime number?
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