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National and Regional Contests
PEN Problems
PEN H Problems
40
40
Part of
PEN H Problems
Problems
(1)
H 40
Source:
5/25/2007
Determine all pairs of rational numbers
(
x
,
y
)
(x, y)
(
x
,
y
)
such that
x
3
+
y
3
=
x
2
+
y
2
.
x^{3}+y^{3}= x^{2}+y^{2}.
x
3
+
y
3
=
x
2
+
y
2
.
Diophantine Equations
pen