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Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
20
20
Part of
PEN H Problems
Problems
(1)
H 20
Source:
5/25/2007
Determine all positive integers
n
n
n
for which the equation
x
n
+
(
2
+
x
)
n
+
(
2
ā
x
)
n
=
0
x^{n}+(2+x)^{n}+(2-x)^{n}= 0
x
n
+
(
2
+
x
)
n
+
(
2
ā
x
)
n
=
0
has an integer as a solution.
Diophantine Equations