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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 ^(-3//2) and alpha^(1//2) beta`

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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