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2005 Swedish Mathematical Competition
1
Two Variable Diophantine
Two Variable Diophantine
Source: 2005 Swedish Mathematical Competition #1
January 6, 2018
number theory
Diophantine Equations
Sweden
Problem Statement
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
.
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