MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2012 India PRMO
19
19
Part of
2012 India PRMO
Problems
(1)
2012 preRMO p19, x^2+y^2-2xy-2x-4y-8=0 in ZxZ
Source:
6/17/2019
How many integer pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
satisfy
x
2
+
4
y
2
−
2
x
y
−
2
x
−
4
y
−
8
=
0
x^2+4y^2-2xy-2x-4y-8=0
x
2
+
4
y
2
−
2
x
y
−
2
x
−
4
y
−
8
=
0
?
number theory
Diophantine equation