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Turkey Contests
Turkey Junior National Olympiad
2005 Turkey Junior National Olympiad
2
2
Part of
2005 Turkey Junior National Olympiad
Problems
(1)
Turkey Junior Olympiad 2005, Part II - P2
Source:
1/20/2013
Find all integer pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
x
3
+
y
3
=
(
x
+
y
)
2
x^3+y^3=(x+y)^2
x
3
+
y
3
=
(
x
+
y
)
2
.