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Problem
Problem
If the equation
a
n
x
n
+
a
n
−
1
x
n
−
1
+
⋯
+
a
1
x
=
0
,
a
1
≠
0
,
n
≥
2
a_n x^n + a_{n-1} x^{n-1} + \dots + a_1 x = 0, a_1 \neq 0, n \ge 2
a
n
x
n
+
a
n
−
1
x
n
−
1
+
⋯
+
a
1
x
=
0
,
a
1
=
0
,
n
≥
2
, has a positive root
x
=
α
x = \alpha
x
=
α
, then the equation
n
a
n
x
n
−
1
+
(
n
−
1
)
a
n
−
1
x
n
−
2
+
⋯
+
a
1
=
0
na_n x^{n-1} + (n-1)a_{n-1} x^{n-2} + \dots + a_1 = 0
n
a
n
x
n
−
1
+
(
n
−
1
)
a
n
−
1
x
n
−
2
+
⋯
+
a
1
=
0
has a positive root, which is a. greater than or equal to
α
\alpha
α
b. equal to
α
\alpha
α
c. greater than
α
\alpha
α
d. smaller than
α
\alpha
α
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