MathDB
Problems
Contests
National and Regional Contests
Argentina Contests
Argentina National Olympiad
2022 Argentina National Olympiad
5
x^3+y^3=4(x^2y+xy^2-5)
x^3+y^3=4(x^2y+xy^2-5)
Source: 2022 Argentina OMA Finals L3 p5
March 25, 2024
number theory
Diophantine equation
diophantine
Problem Statement
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
)
.
Back to Problems
View on AoPS