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Let a, b, c be positive number. If ax^(2...

Let a, b, c be positive number. If `ax^(2) + (b)/(x) = c` for all `x gt 0`, then that the minimum value of `(ab^(2))/(c^(3))` is `(4)/(27)`

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The correct Answer is:
`((27 ab^(2))/(4))^(1//3) ge c rArr (ab^(2))/(c^(3)) ge (4)/(27)`
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