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Junior Regional Olympiad - FBH 2016 Grade 8 Problem 4
Junior Regional Olympiad - FBH 2016 Grade 8 Problem 4
Source:
September 29, 2018
number theory
equations
Problem Statement
In set of positive integers solve the equation
x
3
+
x
2
y
+
x
y
2
+
y
3
=
8
(
x
2
+
x
y
+
y
2
+
1
)
x^3+x^2y+xy^2+y^3=8(x^2+xy+y^2+1)
x
3
+
x
2
y
+
x
y
2
+
y
3
=
8
(
x
2
+
x
y
+
y
2
+
1
)
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