Let `alpha and beta` be the roots of equation `x^(2)-6x-2=0. If a_(n)=alpha^(n)-beta^(n),"for"nge1,` then the value of `(a_(10)-2a_(8))/(2a_(9))` is

Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if a_n=alpha^n-beta^n for n>=1 then the value of (a_10 - 2a_8)/(2a_9)

If alpha, beta, gamma are roots of equation x^(3)-2 x^(2)-1=0 and T_(n)= alpha^(n)+beta^(n)+gamma^(n) , then value of (T_(11)-T_(8))/(T_(10)) is

If alpha and beta are the roots of the equation x^(2)-ax+b=0 ,find Q(b) (1)/(alpha)+(1)/(beta)

If alpha and beta are the roots of x^(2)+6x-4=0 , find the value of (alpha-beta)^(2) .

If alpha and beta are the roots of x^(2)+6x-4=0 , find the values of (alpha-beta)^(2) .

If alpha and beta are the roots of the equation x^(2)-ax+b=0 ,find Q (a)(alpha)/(beta)+(beta)/(alpha)

If alpha, beta are the roots of the equation x^(2)-3 x-15=0 , and f(n)=alpha^(n)+beta^(n) , then (f(8)-3 f(7)+f(6))/(2 f(6)) is equal to

If alpha" and "beta are the roots of the equation x^(2)+3x-4=0 , then (1)/(alpha)+(1)/(beta) is equal to

If alpha , beta are the roots of the equation ax^(2)+bx+c=0 and S_(n)=alpha^(n)+beta^(n) , then aS_(n+1)+bS_(n)+cS_(n-1)=(n ge 2)

If alphaandbeta are the roots of the equation x^(2)-6x+12=0 and the value of (alpha-2)^(24)-((beta-6)^(8))/(alpha^(8))+1 is 4^(a) , then the value of a is ______.