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Greece Junior Math Olympiad
2006 Greece Junior Math Olympiad
2
2
Part of
2006 Greece Junior Math Olympiad
Problems
(1)
Dioph. equation
Source: Greek Olympiad 2006 , pr - 2
2/25/2006
Find all positive integers
x
,
y
x , y
x
,
y
which are roots of the equation
2
x
y
ā
y
=
2005
2 x^y-y= 2005
2
x
y
ā
y
=
2005
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