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PEN H Problems
16
16
Part of
PEN H Problems
Problems
(1)
H 16
Source:
5/25/2007
Find all pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
of different positive integers that satisfy the equation
W
(
a
)
=
W
(
b
)
W(a)=W(b)
W
(
a
)
=
W
(
b
)
, where
W
(
x
)
=
x
4
−
3
x
3
+
5
x
2
−
9
x
W(x)=x^{4}-3x^{3}+5x^{2}-9x
W
(
x
)
=
x
4
−
3
x
3
+
5
x
2
−
9
x
.
algebra
polynomial
function
Diophantine Equations