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Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
76
76
Part of
PEN H Problems
Problems
(1)
H 76
Source:
5/25/2007
Find all pairs
(
m
,
n
)
(m,n)
(
m
,
n
)
of integers that satisfy the equation
(
m
−
n
)
2
=
4
m
n
m
+
n
−
1
.
(m-n)^{2}=\frac{4mn}{m+n-1}.
(
m
−
n
)
2
=
m
+
n
−
1
4
mn
.
Diophantine Equations