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2019 Greece National Olympiad
3
2019 Greece National Olympiad Q3
2019 Greece National Olympiad Q3
Source: 2019 Greece National Olympiad
March 11, 2019
number theory
Problem Statement
Find all positive rational
(
x
,
y
)
(x,y)
(
x
,
y
)
that satisfy the equation :
y
x
y
=
y
+
1
yx^y=y+1
y
x
y
=
y
+
1
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