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Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
90
90
Part of
PEN H Problems
Problems
(1)
H 90
Source:
5/25/2007
Find all triples of positive integers
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
such that
(
x
+
y
)
(
1
+
x
y
)
=
2
z
.
(x+y)(1+xy)= 2^{z}.
(
x
+
y
)
(
1
+
x
y
)
=
2
z
.
Diophantine Equations