Suppose `alpha, beta` are roots of `8x^(2) - 10 x + 3 = 0` , then `sum_(n=0) ^(infty) (alpha^(n) + beta^(n))` is

Let alpha and beta are roots of x^(2) - 17x - 6 = 0 with alpha gt beta, if a_(n) = alpha^(n+2)+beta^(n+2) for n ge 5 then the value of (a_(10)-6a_(8)-a_(9))/(a_(9))

Suppose alpha, beta are roots of x^(2)-7x+8=0, with alpha gt beta, then value of (16)/(alpha)+3 beta^(2)-19 beta is

If alpha,beta are the roots of an equation x^(2)-2x cos theta+1=0 then the equation having alpha^(n) and beta^(n) is

If alpha,beta are the roots of x^(2)-2x+4=0 then alpha^(n)+beta^(n) is