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2013 Greece National Olympiad
2
2
Part of
2013 Greece National Olympiad
Problems
(1)
Equation in Z!
Source: Greek MO 2013 - P2
5/12/2013
Solve in integers the following equation:
y
=
2
x
2
+
5
x
y
+
3
y
2
y=2x^2+5xy+3y^2
y
=
2
x
2
+
5
x
y
+
3
y
2
quadratics
number theory proposed
number theory
Greece
2013
#2
Diophantine equation