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Problem
Problem
Consider the cubic equation
f
(
x
)
=
x
3
−
n
x
+
1
=
0
f(x) = x^3 - nx + 1 = 0
f
(
x
)
=
x
3
−
n
x
+
1
=
0
where
n
≥
3
,
n
∈
N
n \ge 3, n \in N
n
≥
3
,
n
∈
N
, then
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
has a. atleast one root in
(
0
,
1
)
(0, 1)
(
0
,
1
)
b. atleast one root in
(
1
,
2
)
(1, 2)
(
1
,
2
)
c. atleast one root in
(
−
1
,
0
)
(-1, 0)
(
−
1
,
0
)
d. data insufficient
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