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Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
31
31
Part of
PEN H Problems
Problems
(1)
H 31
Source:
5/25/2007
Determine all integer solutions of the system
2
u
v
−
x
y
=
16
,
2uv-xy=16,
2
uv
−
x
y
=
16
,
x
v
−
y
u
=
12.
xv-yu=12.
xv
−
y
u
=
12.
Ring Theory
Diophantine Equations