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Germany Team Selection Test
2013 Germany Team Selection Test
1
Injectivity on Ratinoals
Injectivity on Ratinoals
Source: Germany TST 2013 P1
April 14, 2020
number theory
Problem Statement
n
n
n
is an odd positive integer and
x
,
y
x,y
x
,
y
are two rational numbers satisfying
x
n
+
2
y
=
y
n
+
2
x
.
x^n+2y=y^n+2x.
x
n
+
2
y
=
y
n
+
2
x
.
Prove that
x
=
y
x=y
x
=
y
.
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