Let α and β be the roots of x2−6x−2=0 with α>β if an=αn−βn for n≥1 then the value of 2a9a10−2a8

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Let $α$ and $β$ be the roots of $x^{2} - 6 x - 2 = 0$ with $α > β$ if $a_{n} = α^{n} - β^{n}$ for $n \geq 1$ then the value of $\frac{a _{10} - 2 a _{8}}{2 a _{9}}$

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Eleanor Discussed

Let

α

and

β

be the roots of

x^{2} - 6 x - 2 = 0

with

α > β

a_{n} = α^{n} - β^{n}

for

n \geq 1

then the value of

\frac{a _{10} - 2 a _{8}}{2 a _{9}}

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Question Text	Let $α$ and $β$ be the roots of $x^{2} - 6 x - 2 = 0$ with $α > β$ if $a_{n} = α^{n} - β^{n}$ for $n \geq 1$ then the value of $\frac{a _{10} - 2 a _{8}}{2 a _{9}}$
Answer Type	Video solution: 1
Upvotes	150