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Mathematics
Problem
If the equation
x
4
+
8
x
3
+
18
x
2
+
8
x
+
a
=
0
x^4 + 8x^3 + 18x^2 + 8x + a = 0
x
4
+
8
x
3
+
18
x
2
+
8
x
+
a
=
0
has four distinct real roots, then the range of
a
a
a
is (a)
(
0
,
9
)
(0, 9)
(
0
,
9
)
(b)
(
−
9
,
0
)
(-9, 0)
(
−
9
,
0
)
(c)
(
−
8
,
1
)
(-8, 1)
(
−
8
,
1
)
(d)
(
−
1
,
8
)
(-1, 8)
(
−
1
,
8
)
(a)
(
0
,
9
)
(0, 9)
(
0
,
9
)
(b)
(
−
9
,
0
)
(-9, 0)
(
−
9
,
0
)
(c)
(
−
8
,
1
)
(-8, 1)
(
−
8
,
1
)
(d)
(
−
1
,
8
)
(-1, 8)
(
−
1
,
8
)
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