14. The roots of the equation $x^{2}-2 x-a^{2}-a=0$ are $\left(\alpha_{a}\right.$,
$$
\begin{array}{r}
\left.\beta_{a}\right)(a=1,2, \cdots, 2011) . \\
\text { Find } \sum_{a=1}^{2011}\left(\frac{1}{\alpha_{a}}+\frac{1}{\beta_{a}}\right) \text { . }
\end{array}
$$
14. The roots of the equation $x^{2}-2 x-a^{2}-a=0$ should satisfy
$$
\begin{array}{l}
\alpha_{a}+\beta_{a}=2, \alpha_{a} \beta_{a}=-\left(a^{2}+a\right) . \\
\text { Then } \sum_{a=1}^{2011}\left(\frac{1}{\alpha_{a}}+\frac{1}{\beta_{a}}\right)=-\sum_{a=1}^{2011} \frac{2}{a^{2}+a} \\
=-2 \sum_{a=1}^{2011}\left(\frac{1}{a}-\frac{1}{a+1}\right) \\
=-2\left(1-\frac{1}{2012}\right)=-\frac{2011}{1006} .
\end{array}
$$