If the roots of the equation `ax^2+bx+c=0` be `alpha` and `beta`, find the equation whose roots are `alpha+alpha^2/beta`and `beta+beta^2/alpha`

IF the roots of the equation ax^2+bx+c=0 be alpha and beta , find the equation whose equals are 1/alpha+1 and 1/beta+1 .

If roots of the equation ax^(2)+bx+c=0 are alpha ,beta then equation whose roots are a alpha+(c)/(alpha) , a beta+(c)/(beta) is ?

The roots of the equation ax^(2)+bx+c=0 are alpha and beta . Form the quadratic equation whose roots are alpha+(1)/(beta) and beta+(1)/(alpha) .

If alpha, beta are the roots of the equation x^2-bx+c=0 then find the equation whose roots are (alpha^2+beta^2)(alpha^3+beta^3) and alpha^5 beta^3+alpha^3beta^5-2alpha^4beta^4

If alpha,beta are roots of the equation ax^(2)+bx+c=0 then the equation whose roots are 2 alpha+3 beta and 3 alpha+2 beta is

If alpha, beta are roots of the equation ax^2 + bx + c = 0 then the equation whose roots are 2alpha + 3beta and 3alpha + 2beta is

If alpha and beta be the roots of the equation ax^(2)+bx+c=0 then equation whose roots are alpha+beta and alpha beta is

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, then find the equation whose roots are given by (i)alpha+(1)/(beta),beta+(1)/(alpha)

IF alpha , beta are the roots of the equation ax^2+ bx +c=0 then the quadratic equation whose roots are alpha + beta , alpha beta is