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National and Regional Contests
Kazakhstan Contests
Kazakhstan National Olympiad
2015 Kazakhstan National Olympiad
2
From which NMO is this?
From which NMO is this?
Source:
January 9, 2015
number theory
Diophantine equation
number theory proposed
Kazakhstan
Problem Statement
Solve in positive integers
x
y
y
x
=
(
x
+
y
)
z
x^yy^x=(x+y)^z
x
y
y
x
=
(
x
+
y
)
z
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