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Problem
Problem
If
λ
,
μ
\lambda, \mu
λ
,
μ
are real numbers such that,
x
3
−
λ
x
2
+
μ
x
−
6
=
0
x^3 - \lambda x^2 + \mu x - 6 = 0
x
3
−
λ
x
2
+
μx
−
6
=
0
has its real roots and positive, then the minimum value of
μ
\mu
μ
, is a.
3
(
6
)
1
/
3
3(6)^{1/3}
3
(
6
)
1/3
b.
3
(
6
)
2
/
3
3(6)^{2/3}
3
(
6
)
2/3
c.
(
6
)
1
/
3
(6)^{1/3}
(
6
)
1/3
d.
(
6
)
2
/
3
(6)^{2/3}
(
6
)
2/3
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