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Let `A B C` be a triangle such that `/_A C B=pi/6` and let `a` , `b` and `c` denote the lengths of the side opposite to `A , B` ,and `C` respectively. The value(s) of `x` for which `a=x^2+x+1,b=x^2-1,\and\ c=2x+1` is(are) `-(2+sqrt(3))` (b) `1+sqrt(3)` (c)`2+sqrt(3)` (d) `4sqrt(3)`

A

`-(2+sqrt(3))`

B

`1+sqrt(3)`

C

`2+sqrt(3)`

D

`4sqrt(3)`

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The correct Answer is:
B
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