Quadratic equation

$ \alpha $,$ \beta $ are the roots of the equation $ k(x^2-x)+x+5=0 $ . If K1 and K2 are the values K for which the roots $ \alpha $,$ \beta $ are connected by the relation $ \frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{4}{5} $. Find the value of $ \frac{K1}{K2}+\frac{K2}{K1} $.

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