MathDB
Problems
Contests
National and Regional Contests
Kazakhstan Contests
Kazakhstan National Olympiad
2015 Kazakhstan National Olympiad
2
2
Part of
2015 Kazakhstan National Olympiad
Problems
(1)
From which NMO is this?
Source:
1/9/2015
Solve in positive integers
x
y
y
x
=
(
x
+
y
)
z
x^yy^x=(x+y)^z
x
y
y
x
=
(
x
+
y
)
z
number theory
Diophantine equation
number theory proposed
Kazakhstan