Statement 1: `alpha^(beta)>beta^(alpha),F O R2. 91 edot`

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 zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 then find the value of ((alpha)/(beta)+(beta)/(alpha)) .

(without alpha + without beta-sin (alpha + beta)) / (without alpha + without beta + sin (alpha + beta)) = tan ((alpha) / (2)) tan ((beta) / (2))

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 zeroes of the quadratic polynomial f(x) =3x^(2)-5x-2 , then find the value of ((alpha^(2))/(beta)+(beta^(2))/(alpha))+6(alpha+1)(beta+1) .

If alpha and beta are the zeros of the quadratic polynomial f(x)=2x^(2)+bx+c ,then evaluate: a[(alpha^(2))/(beta)+(beta^(2))/(alpha)]+b[(alpha)/(beta)+(beta)/(alpha)]

If alpha != beta but, alpha^(2) = 4alpha - 2 and beta^(2) = 4beta - 2 then the quadratic equation with roots (alpha)/(beta) and (beta)/(alpha) is

If alpha and beta are zeroes of the quadratic polynomial p(x)=6x^(2)+x-1, then find the value of (alpha)/(beta)+(beta)/(alpha)+2((1)/(alpha)+(1)/(beta))+3 alpha beta