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Junior Balkan MO
2005 Junior Balkan MO
1
equation in two positive integers
equation in two positive integers
Source: JBMO 2005, Problem 1
October 29, 2005
quadratics
Problem Statement
Find all positive integers
x
,
y
x,y
x
,
y
satisfying the equation
9
(
x
2
+
y
2
+
1
)
+
2
(
3
x
y
+
2
)
=
2005.
9(x^2+y^2+1) + 2(3xy+2) = 2005 .
9
(
x
2
+
y
2
+
1
)
+
2
(
3
x
y
+
2
)
=
2005.
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