$nx^2-x+n(n+1)=0$

For all positive integers $n$ , let $\alpha_n$ and $\beta_n$ be the roots of the quadratic equation $nx^2-x+n(n+1)=0.$ What is the value of $\left(\frac{1}{\alpha_1}+\frac{1}{\beta_1}\right)+\left(\frac{1}{\alpha_2}+\frac{1}{\beta_2}\right)+ \cdots +\left(\frac{1}{\alpha_{25}}+\frac{1}{\beta_{25}}\right)?$