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Contests
National and Regional Contests
PEN Problems
PEN H Problems
85
85
Part of
PEN H Problems
Problems
(1)
H 85
Source:
5/25/2007
Find all integer solutions to
2
(
x
5
+
y
5
+
1
)
=
5
x
y
(
x
2
+
y
2
+
1
)
2(x^5 +y^5 +1)=5xy(x^2 +y^2 +1)
2
(
x
5
+
y
5
+
1
)
=
5
x
y
(
x
2
+
y
2
+
1
)
.
inequalities
Diophantine Equations
pen