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If 1/ sqrt(alpha) and 1/sqrt(beta) are ...

If ` 1/ sqrt(alpha) and 1/sqrt(beta)` are the roots of equation `a x^2 + bx + 1 = 0`(`a!=0, (a,b in R)`), then the equation `x(x + b^3) + (a^3 - 3abx) = 0` has roots -

A

`alpha^(3/2) and beta^(3/2)`

B

`alpha beta^(1/2) and alpha ^(1/(2beta))`

C

`sqrt(alpha beta) and alpha beta`

D

`alpha^(-3/2) and beta^(-3/2)`

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The correct Answer is:
A
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