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Poland - Second Round
1990 Poland - Second Round
1
(xy-1)^2 = (x +1)^2 + (y +1)^2, NT
(xy-1)^2 = (x +1)^2 + (y +1)^2, NT
Source: Polish MO Recond Round 1990 p1
September 9, 2024
number theory
diophantine
Diophantine equation
Problem Statement
Find all pairs of integers
x
x
x
,
y
y
y
satisfying the equation
(
x
y
ā
1
)
2
=
(
x
+
1
)
2
+
(
y
+
1
)
2
.
(xy-1)^2 = (x +1)^2 + (y +1)^2.
(
x
y
ā
1
)
2
=
(
x
+
1
)
2
+
(
y
+
1
)
2
.
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