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lf α\displaystyle\alphaα and β\displaystyle\betaβ are the roots of the equation λ(x2+x)+x+5=0,\displaystyle\lambda (x^{2} +x) +x+5=0, λ(x2+x)+x+5=0, and λ1\displaystyle\lambda_{1}λ1 and λ2\displaystyle\lambda_{2}λ2 are two values of λ\displaystyle\lambdaλ for which α\displaystyle\alphaα , β\displaystyle\betaβ are connected by the relation αβ+βα=4,\displaystyle\frac{\alpha}{\beta}+\frac{\beta}{\alpha} =4 ,βα+αβ=4, then what is the value of λ1λ2+λ2λ1?\displaystyle\frac{\lambda_{1}}{\lambda_{2}}+\frac{\lambda_{2}}{\lambda_{1}} ?λ2λ1+λ1λ2?
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