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If a x^2+b/xgeqc for all positive x wher...

If `a x^2+b/xgeqc` for all positive `x` where `a >0` and `b >0,` show that `27 a b^2geq4c^3dot`

A

`27ab^(2)ge4c^(3)`

B

`27ab^(2)lt4c^(3)`

C

`4ab^(2)ge27c^(3)`

D

None of these

Text Solution

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The correct Answer is:
A
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