# Easy one .

Algebra Level 4

lf $\displaystyle\alpha$ and $\displaystyle\beta$ are the roots of the equation $\displaystyle\lambda (x^{2} +x) +x+5=0,$ and $\displaystyle\lambda_{1}$ and $\displaystyle\lambda_{2}$ are two values of $\displaystyle\lambda$ for which $\displaystyle\alpha$ , $\displaystyle\beta$ are connected by the relation $\displaystyle\frac{\alpha}{\beta}+\frac{\beta}{\alpha} =4 ,$ then what is the value of $\displaystyle\frac{\lambda_{1}}{\lambda_{2}}+\frac{\lambda_{2}}{\lambda_{1}} ?$

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