sqrt((alpha)/(beta))+sqrt((beta)/(alpha))-sqrt((b)/(a))=0

If a,b are real nos.of the same sign such that b^(2)>=4ab and alpha,beta are roots of ax^(2)+bx+b=0, then sqrt((alpha)/(beta))+sqrt((beta)/(alpha))-sqrt((b)/(a)) is :

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

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

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)))

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 IF alpha,beta are the roots does the quadratic equation ax^(2) + bx + b = 0 then what is the value of sqrt(alpha/beta) + sqrt(beta /alpha)+ sqrt(b/a) ?

If alpha, beta are the roots of ax^(2)+ bx+ b = 0 " then what is " (sqrt(alpha))/(sqrt(beta))+(sqrt(beta))/(sqrt(alpha))+(sqrt(b))/(sqrt(a)) equal to ?