If $\left({\lambda }^2+\lambda -2\right)x^2+\left(\lambda +2\right)x<1$ $\left(\forall x\in R\right)$ then $\mathrm{\lambda }$ belongs to the interval

If $\alpha , \beta$ are roots of the equation $\lambda \left(x^2-x\right)+x+5=0.$ If ${\lambda }_1$ and ${\lambda }_2$ are the two values of $\lambda$ for which the roots $\alpha ,\beta$ are connected by the relation $\frac{\alpha }{\beta }+\frac{\beta }{\alpha }=4,$ then the value of $\left(\frac{\frac{{\lambda }_1}{{\lambda }_2}+\frac{{\lambda }_2}{{\lambda }_1}}{14}\right)$ is