If `alpha and beta` are connected by the relations `alpha^2+alpha=1 and beta^2+beta=1,` then the value of `alpha^2+beta^2` is eqal to

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^(2)=5 alpha-3 beta^(2)=5 beta-3 then the value of (alpha)/(beta)+(beta)/(alpha) is

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))

If alpha,beta, are roots of the equation x^(2)+sqrt(x)alpha+beta=0,beta beta then values of alpha and beta are 1. alpha=1 and beta=12 .alpha=1 and beta=-2 3.alpha=2 and beta=1alpha=2 and beta=-2

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of (1)/(alpha beta)+(alpha+beta) is

If alpha and beta are roots of the quadratic polynomial f(x)=px^(2)+qx+r ;then find the value of (i) alpha^(2)+beta^(2)( ii) (alpha)/(beta)+(beta)/(alpha) (iii) (1)/(alpha^(3))+(1)/(beta^(3))( iv )(alpha^(2))/(beta)+(beta^(2))/(alpha)

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 zeroes of the polynomial 2x^2 + 5x + 1 , then the value of alpha +beta+ alpha beta is