If - - are roots of x 2-5 x -8-0 and t n - n - n- then the value of t 6-8 t 4-5 t 5 is

Given nbsp;x^2 5 x 8 = 0 has roots α, β, Now, nbsp; α + β = 5, αβ = 8 We know that nbsp;t_n = α^n β^n Now, t_6 8 t_45 t_5 nbsp;=(α^6 β^6)+(α ...

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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 the value of $\frac{t_{6} - 8 t_{4}}{5 t_{5}}$ is

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