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III Lusophon Mathematical Olympiad 2013 - Problem 4
III Lusophon Mathematical Olympiad 2013 - Problem 4
Source:
August 12, 2013
Problem Statement
Find all the pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
of positive integers that satisfy the equation
x
2
−
x
y
+
2
x
−
3
y
=
2013
x^2-xy+2x-3y=2013
x
2
−
x
y
+
2
x
−
3
y
=
2013
.
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