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Solve the equation x^2+y^2=(x-y)^3 - [IMO LongList 1971]
Solve the equation x^2+y^2=(x-y)^3 - [IMO LongList 1971]
Source:
January 1, 2011
number theory
greatest common divisor
number theory proposed
Problem Statement
Find all integer solutions of the equation
x
2
+
y
2
=
(
x
ā
y
)
3
.
x^2+y^2=(x-y)^3.
x
2
+
y
2
=
(
x
ā
y
)
3
.
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