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2020 LIMIT Category 2
15
x^2+y^2=9999(x-y) diophantine
x^2+y^2=9999(x-y) diophantine
Source: LIMIT 2020 Cat 2 Obj P15
June 9, 2020
number theory
limit
diophantine
Diophantine equation
Problem Statement
How many integer pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
satisfies
x
2
+
y
2
=
9999
(
x
ā
y
)
x^2+y^2=9999(x-y)
x
2
+
y
2
=
9999
(
x
ā
y
)
?
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