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Czech republic,district round,2008,problem 1
Czech republic,district round,2008,problem 1
Source:
February 25, 2012
algebra unsolved
algebra
Problem Statement
Let
n
n
n
be an integer greater than
1
1
1
.Find all pairs of integers
(
s
,
t
)
(s,t)
(
s
,
t
)
such that equations:
x
n
+
s
x
=
2007
x^n+sx=2007
x
n
+
s
x
=
2007
and
x
n
+
t
x
=
2008
x^n+tx=2008
x
n
+
t
x
=
2008
have at least one common real root.
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