Let $$\alpha(a)$$ and $$\beta(a)$$ be the roots of the equation $$\left(\sqrt[3]{1 + a} - 1\right)x^2 + \left(\sqrt{1 + a} - 1\right)x + \left(\sqrt[6]{1 + a} - 1\right) = 0$$ where a > -1. Then $$\lim_{a \rightarrow 0^+}\alpha(a)$$ and $$\lim_{a \rightarrow 0^+}\beta(a)$$ are

A

$$-\frac{5}{2}$$ and 1

B

$$-\frac{1}{2}$$ and -1

C

$$-\frac{7}{2}$$ and 2

D

$$-\frac{9}{2}$$ and 3