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Let ABC be a triangle such that ∠ACB = π/6 and let a, b and c denote the lengths of the side opposite to A,B and C, respectively. The values of x for which a = x2 + x + 1, b = x2 – 1 and c = 2x + 1 is (are)

(a) -(2 + √3)

(b) 1 + √3

(c) 2 + √3

(d) 4√3

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