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(1)
IMOC 2019 N1
Source: http://drive.google.com/file/d/1OzcOBEZZMCgCeiDLLjyRbK0KkwN4207F/view
12/24/2019
Find all pairs of positive integers
(
x
,
y
)
(x, y)
(
x
,
y
)
so that
(
x
y
−
6
)
2
∣
x
2
+
y
2
(xy - 6)^2 | x^2 + y^2
(
x
y
−
6
)
2
∣
x
2
+
y
2
number theory
IMOC