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1941 Moscow Mathematical Olympiad
088
MMO 088 Moscow MO 1941 diophantine x + y = x^2 - xy + y^2
MMO 088 Moscow MO 1941 diophantine x + y = x^2 - xy + y^2
Source:
July 18, 2019
number theory
diophantine
Problem Statement
Solve in integers the equation
x
+
y
=
x
2
ā
x
y
+
y
2
x + y = x^2 - xy + y^2
x
+
y
=
x
2
ā
x
y
+
y
2
.
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