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APMO
1993 APMO
4
4
Part of
1993 APMO
Problems
(1)
Equation
Source: APMO 1993
3/11/2006
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.
number theory unsolved
number theory