If `alpha,beta,gamma` are the roots of the equation `x^3-2x^2-1=0`and `T_n=alpha^n+beta^n+gamma^n`. Find the value of `(T_11-T_8)/T_10`

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, beta, gamma are the roots of the equation x^3 - 3x + 11 =0 , then alpha + beta + gamma is ………….

If alpha,beta are the roots of the equation x^2-2x+4=0 , find alpha^(n)+beta^(n) for (a) n=3k, k in N

If alpha, beta, gamma are the roots of the equation x^(3) - 6x^(2) + 11x - 6 = 0 and if a = alpha^(2) + beta^(2) + gamma^(2) , b = alpha beta + beta gamma + gamma alpha and c = (alpha + beta) (beta + gamma)(gamma + alpha), then the correct inequality among the following is :

Let alpha and beta be the roots of the equation x^(2)-6x-2=0 If a_(n)=alpha^(n)-beta^(n) for n>=0 then find the value of (a_(10)-2a_(8))/(2a_(9))

If alpha,beta,gamma are the roots of the equation x^(3)-px^(2)+qx-r=0 find the value of (beta+gamma)(gamma+alpha)(alpha+beta)

If alpha,beta,gamma are the roots of x^(3)+2x^(2)+3x+8=0 then (alpha+beta)(beta+gamma)(gamma+alpha)=

If alpha,beta,gamma are the roots of the equation x^(3)+px^(2)+qx+r=0, then find he value of (alpha-(1)/(beta gamma))(beta-(1)/(gamma alpha))(gamma-(1)/(alpha beta))