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1987 USAMO
1
(m^2+n)(m+n^2)=(m-n)^3
(m^2+n)(m+n^2)=(m-n)^3
Source: USAMO 1987 problem 1
July 24, 2011
algebra
Diophantine equation
equation
USAMO
Problem Statement
Determine all solutions in non-zero integers
a
a
a
and
b
b
b
of the equation
(
a
2
+
b
)
(
a
+
b
2
)
=
(
a
ā
b
)
3
.
(a^2+b)(a+b^2) = (a-b)^3.
(
a
2
+
b
)
(
a
+
b
2
)
=
(
a
ā
b
)
3
.
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