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Argentina National Olympiad
2022 Argentina National Olympiad
5
5
Part of
2022 Argentina National Olympiad
Problems
(1)
x^3+y^3=4(x^2y+xy^2-5)
Source: 2022 Argentina OMA Finals L3 p5
3/25/2024
Find all pairs of positive integers
x
,
y
x,y
x
,
y
such that
x
3
+
y
3
=
4
(
x
2
y
+
x
y
2
ā
5
)
.
x^3+y^3=4(x^2y+xy^2-5).
x
3
+
y
3
=
4
(
x
2
y
+
x
y
2
ā
5
)
.
number theory
Diophantine equation
diophantine