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(xy + 2)^2 = x^2 + y^2 diophantine (HOMC 2018 Ind. p11)
(xy + 2)^2 = x^2 + y^2 diophantine (HOMC 2018 Ind. p11)
Source:
January 31, 2020
Diophantine equation
number theory
Problem Statement
Find all pairs of nonnegative integers
(
x
,
y
)
(x, y)
(
x
,
y
)
for which
(
x
y
+
2
)
2
=
x
2
+
y
2
(xy + 2)^2 = x^2 + y^2
(
x
y
+
2
)
2
=
x
2
+
y
2
.
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