If are real numbers such that has all its roots real and positive

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

\lambda,\mu

are real numbers such that

x^3-\lambda x^2+\mu x-6=0

has all its roots real and positive, then the minimum value of

\mu

is (1)

3(6)^{1/3}

(2)

3(6)^{2/3}

(3)

(6)^{1/3}

(4)

(6)^{2/3}