MathDB
Problems
Contests
National and Regional Contests
Korea Contests
Korea Junior Mathematics Olympiad
2014 Korea Junior Math Olympiad
5
5
Part of
2014 Korea Junior Math Olympiad
Problems
(1)
(x^2y + x) is a multiple of (xy^2 + 7) , find positive integers x,y
Source: KJMO 2014 p5
5/2/2019
For positive integers
x
,
y
x,y
x
,
y
, find all pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
x
2
y
+
x
x^2y + x
x
2
y
+
x
is a multiple of
x
y
2
+
7
xy^2 + 7
x
y
2
+
7
.
number theory
multiple
positive integers
divisible