if `alpha,beta` are roots of `x^2+4x+3` then find quadratic equation whose roots are `1+alpha/beta` and `1+beta/alpha`

Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation whose roots are - (alpha+1//beta)and-(beta+1//alpha) .

Let alpha,beta are the roots of x^(2)+bx+1=0 . Then find the equation whose roots are -(alpha+1/ beta) and -(beta+1/ alpha)

If alpha, and beta are the roots of x^(2)+px+q=0 form a quadratic equation whose roots are (alpha-beta)^(2) and (alpha+beta)^(2) .

If alpha, and beta are the roots of x^(2)+px+q=0 form a quadratic equation whose roots are (alpha-beta)^(2) and (alpha+beta)^(2) .

If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roots are alpha+(1)/(beta) and beta+(1)/(alpha) is

If alpha,beta be the two roots of the equation x^2+x+1 =0, then the equation whose roots are alpha/beta and beta/alpha is

If alpha and beta are roots of the equation x^2 – x-1 = 0 , then the equation where roots are alpha/beta and beta/alpha is: