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Moscow Mathematical Olympiad
1941 Moscow Mathematical Olympiad
088
088
Part of
1941 Moscow Mathematical Olympiad
Problems
(1)
MMO 088 Moscow MO 1941 diophantine x + y = x^2 - xy + y^2
Source:
7/18/2019
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
.
number theory
diophantine