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Let A B C be a triangle such that /A C B...

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

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