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 , 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 is

If alpha, beta are the roots of x^(2)-(a-2)x-(a+1)=0 where 'a' is a variable then the minimum value of alpha^(2)+beta^(2) is

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

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 and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alpha and beta are the roots of x^2-2x+3=0 then alpha^2beta+ beta^2 alpha =….

If alpha and beta are the roots of the equations x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+beta^(2)alpha^(-2)

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)/2csc^2(1/2tan^(- 1)(beta/alpha))+(alpha^3)/2sec^2(1/2tan^- 1(alpha/beta))