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Let α\alphaα and β\betaβ be the roots of equation x2−6x−2=0x^2-6x-2=0x2−6x−2=0.
If an=αn−βna_n=\alpha^n-\beta^nan=αn−βn for n≥1,n \geq 1,n≥1, then the value of a10−2a82a9\dfrac{a_{10}-2a_8}{2a_9}2a9a10−2a8 is equal to __________.\text{\_\_\_\_\_\_\_\_\_\_}.__________.
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