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Chisinau City MO
1979 Chisinau City MO
169
Chisinau MO p169 1979 VIII x^8+1/x^8 is integer if x+1/x integer
Chisinau MO p169 1979 VIII x^8+1/x^8 is integer if x+1/x integer
Source:
March 17, 2021
algebra
number theory
Integer
Problem Statement
Prove that the number
x
8
+
1
x
8
x^8+\frac{1}{x^8}
x
8
+
x
8
1
ā
is an integer if
x
+
1
x
x+\frac{1}{x }
x
+
x
1
ā
is an integer.
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