Let `alpha` and `beta` be the roots of equation `px^(2)+qx+r=0,p!=0`.If `p, q ,r ` are in A.P. and `((1)/(alpha)+(1)/(beta))= 4`, then the value of `| alpha -beta|`

If alpha and beta are the zeros of the polynomial p(x) = x^(2) - px + q , then find the value of (1)/(alpha)+(1)/(beta)

Let alpha and beta are roots of the equation px^2+qx-r=0 where pne0 . If p, q, r are the consecutive term of non-constant G.P and 1/alpha+1/beta=3/4 , then value of (alpha-beta)^2 is:

if alpha and beta are the roots of the equation ax^(2)+bx+c=0 and if px^(2)+qx+r=0 has roots (1-alpha)/(alpha) and (1-beta)/(beta) then r=?

If alpha and beta are the roots of the equation a^(2)+bx+c=0 and if px^(2)+qx+r=0 has roots (1-alpha)/(alpha) and (1-beta)/(beta) then r=

If alpha,beta be the roots of the equation x^(2)-px+q=0 then find the equation whose roots are (q)/(p-alpha) and (q)/(p-beta)

If alpha and beta are the real roots of the equation x^(3)-px-4=0, p in R such that 2 alpha+beta=0 then the value of (2 alpha^(3)+beta^(3)) equals