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

Let `alpha(a) and beta(a)` be the roots of the equation `{(a+1)^(1//3)-1}x^(2)+(sqrt(1+a)-1)x+(root(6)(1+a)-1)=0` where `a gt -1`. Then, `underset(a rarr 0^(+))("lim") alpha(a) and underset(a rarr 0^(+))("lim") beta(a) are`

A

`-5/2` and 1

B

`-1/2` and -1

C

`-7/2` and 2

D

`-9/2` and 3

Text Solution

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The correct Answer is:
B
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