Let αand βbe the roots of equation x2−6x−2=0. If an=αn−βn,forn≥1, then the value of 2a9a10−2a8is equal to:

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Let $α$ and $β$ be the roots of equation $x^{2} - 6 x - 2 = 0$ . If $a_{n} = α^{n} - β^{n}, f or n \geq 1$ , then the value of $\frac{a _{10} - 2 a _{8}}{2 a _{9}}$ is equal to:

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Chloe Discussed

Let

α

and

β

be the roots of equation

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

. If

a_{n} = α^{n} - β^{n}, f or n \geq 1

, then the value of

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

is equal to:

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Question Text	Let $α$ and $β$ be the roots of equation $x^{2} - 6 x - 2 = 0$ . If $a_{n} = α^{n} - β^{n}, f or n \geq 1$ , then the value of $\frac{a _{10} - 2 a _{8}}{2 a _{9}}$ is equal to:
Answer Type	Video solution: 1
Upvotes	151