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  4. If α, β, γ are the 3 positive roots of cubic x 3- ax 2+ bx -16 √6=0 then the minimum value of ((4/α β)+(3/β γ)+(2/γ α)) is

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Q. If $\alpha, \beta, \gamma$ are the 3 positive roots of cubic $x ^3- ax ^2+ bx -16 \sqrt{6}=0$ then the minimum value of $\left(\frac{4}{\alpha \beta}+\frac{3}{\beta \gamma}+\frac{2}{\gamma \alpha}\right)$ is

Sequences and Series

Solution:

A.M. $\geq$ G.M.

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