If `alpha`, `beta` are the roots of `x^(2)-a(x-1)+b-0`, then the value of product of the roots is ..

If alpha and beta are the roots of 4x^(2) + 3x +7 =0 then the value of 1/alpha + 1/beta is

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

If alpha, beta are roots of x^(2)-2x-1=0 , then value of 5alpha^(4)+12beta^(3) is

If alpha , beta are the roots of x^(2)-a(x-1)+b=0 ,then the value of (1)/(alpha^(2)-a alpha)+(1)/(beta^(2)-a beta)+(2)/(a+b) is equal to

If alpha, beta are the roots of the equation x^(2)-ax+b=0 .then the equation whose roots are 2 alpha+(1)/(beta), 2 beta+(1)/(alpha) is

If alpha and beta are the roots of x^(2)-a(x-1)+b=0 then find the value of 1/(alpha^(2)-a alpha)+1/(beta^(2)-beta)+2/a+b

If alpha, beta are the roots of x^(2)-3x+1=0 , then the equation whose roots are (1/(alpha-2),1/(beta-2)) is

If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0 , then the value of |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is