let alpha(a) and beta(a) be the roots of...

let `alpha(a)` and `beta(a)` be the roots of the equation `((1+a)^(1/3)-1)x^2 +((1+a)^(1/2)-1)x+((1+a)^(1/6)-1)=0` where `agt-1` then, `lim_(a->0^+)alpha(a)` and `lim_(a->0^+)beta(a)`

A

`-5/2` and 1

B

`-1/2` and -1

C

`-7/2` and 2

D

`-9/2` and 3

Verified by Experts

The correct Answer is:

C

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