If - - are roots of x2 - 5 x - 8 - 0 and tn - -n - -n- then t6 -8 t4-5 t5 is

Α + β = 5, αβ = 8 t_6 8 t_4/5 t_5 =(α^6 β^6)+(αβ)(α^4 β^4)/5(α^5 β^5) = α^5 (α+ β) β^5 (α + β)/5 (α^5 β^5) = 5/5 =1 ...

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Relation between Roots and Coefficients for Quadratic

If α, β are r...

Question

If $α, β$ are roots of $x^{2} - 5 x - 8 = 0$ and $t_{n} = α^{n} - β^{n}$ , then $\frac{t_{6} - 8 t_{4}}{5 t_{5}}$ is

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