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2005 Swedish Mathematical Competition
1
1
Part of
2005 Swedish Mathematical Competition
Problems
(1)
Two Variable Diophantine
Source: 2005 Swedish Mathematical Competition #1
1/6/2018
Find all integer solutions
x
x
x
,
y
y
y
of the equation
(
x
+
y
2
)
(
x
2
+
y
)
=
(
x
+
y
)
3
(x+y^2)(x^2+y)=(x+y)^3
(
x
+
y
2
)
(
x
2
+
y
)
=
(
x
+
y
)
3
.
number theory
Diophantine Equations
Sweden