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2014 Cuba MO
7
(a + 1)(b- 1) = a^2b^2 diophantine
(a + 1)(b- 1) = a^2b^2 diophantine
Source: 2014 Cuba 2.7
September 20, 2024
Diophantine equation
diophantine
number theory
Problem Statement
Find all pairs of integers
(
a
,
b
)
(a, b)
(
a
,
b
)
that satisfy the equation
(
a
+
1
)
(
b
ā
1
)
=
a
2
b
2
.
(a + 1)(b- 1) = a^2b^2.
(
a
+
1
)
(
b
ā
1
)
=
a
2
b
2
.
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