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1986 Greece Junior Math Olympiad
1
(x+1)(y+1)(x+y)(x^2+y^2)=16x^2y^2 diophantine - Greece Juniors 1986 p1
(x+1)(y+1)(x+y)(x^2+y^2)=16x^2y^2 diophantine - Greece Juniors 1986 p1
Source:
September 13, 2024
number theory
Diophantine equation
diophantine
Problem Statement
Find all pairs of integers
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
(
x
+
1
)
(
y
+
1
)
(
x
+
y
)
(
x
2
+
y
2
)
=
16
x
2
y
2
(x+1)(y+1)(x+y)(x^2+y^2)=16x^2y^2
(
x
+
1
)
(
y
+
1
)
(
x
+
y
)
(
x
2
+
y
2
)
=
16
x
2
y
2
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