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2009 JBMO Shortlist
3
(x + y)^2(x^2 + y^2) = 2009^2
(x + y)^2(x^2 + y^2) = 2009^2
Source: JBMO 2009 Shortlist N3
October 14, 2017
JBMO
number theory
Problem Statement
Find all pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
of integers which satisfy the equation
(
x
+
y
)
2
(
x
2
+
y
2
)
=
200
9
2
(x + y)^2(x^2 + y^2) = 2009^2
(
x
+
y
)
2
(
x
2
+
y
2
)
=
200
9
2
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