` x^2-2x-4=0` then find the value of `(3alpha+1) , (3beta+1)`

If alpha,beta be the roots of the equation 3x^(2)-6x+4=0, then find the value of ((alpha^(2))/(beta)+(beta^(2))/(alpha))+((alpha)/(beta)+(beta)/(alpha))+2((1)/(alpha)+(1)/(beta))+3 alpha beta

If alpha and beta are the roots of 2x^(2) + 5x - 4 = 0 then find the value of (alpha)/(beta) + (beta)/(alpha) .

If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0 , then find the values of alpha+beta+1

If alpha and beta are zeroes of the polynomial 3x^(2)-7x+1 then find the value of (1)/(alpha)+(1)/(beta)

If alphaandbeta be the roots of the equation 5x^(2)+2x-3=0 , then find the values of ((1)/(alpha)+(1)/(beta))

If alpha, beta are the zeros of the polynomial 4x ^(2)+3x+7 then find the value of (1)/(alpha) + (1)/(beta).

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

If alpha a n d beta are the roots of x^2-3x+2=0 find the value of (1+ alpha )(1+ beta ).

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)))