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Putnam
1955 Putnam
A6
A6
Part of
1955 Putnam
Problems
(1)
Putnam 1955 A6
Source:
5/23/2022
Find a necessary and sufficient condition on the positive integer
n
n
n
that 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
have a rational root.
Putnam