" (iii) "alpha^(4)beta+beta^(4)alphaquad " (iv) "sqrt((alpha)/(beta))+sqrt((beta)/(alpha))

If alpha and beta are zeroes of a quadratic polynomial ax^(2)+bx+c . Find the value of: (i) alpha^(2)-beta^(2) (ii) alpha^(3)+beta^(3) (iii) alpha^(4)beta+beta^(4)alpha (iv) sqrt((alpha)/(beta))+sqrt((beta)/(alpha)) (v) (alpha^(2))/(beta)+(beta^(2))/(alpha) (alpha^(-1)+(1)/(alpha^(-1)))(beta^(-1)+(1)/(beta^(-1)))

If alpha,beta are the roots of ax^(@)+bx+b=0, then sqrt((alpha)/(beta))+sqrt((beta)/(alpha))+sqrt((b)/(a)) is equal to

If alpha and beta be the zeros of the polynomial ax^(2)+bx+c, then the value of sqrt((alpha)/(beta))+sqrt((beta)/(alpha))

If alpha and beta are roots of x^(2)+21x+4=0 and (sqrt(alpha))/(beta),(sqrt(beta))/(alpha), are roots of px^(2)+qx+2=0 then value of alpha(26p+q)

If alpha,beta are zeros 02x^(2)-4x+5, find the value of sqrt((alpha)/(beta))+sqrt((beta)/(alpha))

If alpha,beta are the roots of the equation ax^(2)-bx+b=0 , prove that sqrt((alpha)/(beta))+sqrt((beta)/(alpha))-sqrt((b)/(a))=0 .

If alpha, beta be the roots of px^(2)-qx +q=0 , then show that sqrt((alpha)/(beta)) +sqrt((beta)/(alpha)) - sqrt((g)/(p))=0 .