If `alpha` and `beta` are the roots of`x^2-(a-2)x-(a+1)=0` where `a` is a variable then the least value of `alpha^2+beta^2`

If alpha and beta are the roots of equation x^(2)-a(x+1)-b=0 where a,beR-{0} and a+b!=0 then the value of (1)/(alpha^(2)-a alpha)+(1)/(beta^(2)-a beta)-(2)/(a+b)

if alpha , beta be the roots of x^(2) -(a -2) x -a-1 =0 then the least value of alpha^(2) + beta^(2) is (1) 0 (2) 1 (3) 3 (4) 5

If alpha and beta are the roots of the equation x^(2) - 2x + 4 = 0 , then what is the value of alpha^(3) + beta^(3) ?

If alpha and beta are the roots of the equation x^(2)-4x+1=0(alpha>beta) then find the value of f(alpha,beta)=(beta^(3))/(2)csc^(2)((1)/(2)tan^(-1)((beta)/(alpha))+(alpha^(3))/(2)sec^(2)((1)/(2)tan^(-1)((alpha)/(beta)))

If alpha and beta are the roots of the equation x^(2)-4x+1=0(alpha

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