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Balkan MO
2017 Balkan MO
1
Balkan MO 2017,Q1
Balkan MO 2017,Q1
Source:
May 4, 2017
algebra
equation
Problem Statement
Find all ordered pairs of positive integers
(
x
,
y
)
(x, y)
(
x
,
y
)
such that:
x
3
+
y
3
=
x
2
+
42
x
y
+
y
2
.
x^3+y^3=x^2+42xy+y^2.
x
3
+
y
3
=
x
2
+
42
x
y
+
y
2
.
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