if `alpha` and `beta` are the roots of the quadratic equation `x^2 - 3.x - 2 = 0,` find a quadratic equation whose roots are `1/(2alpha+beta)` and `1/(2beta+alpha)`

if alpha and beta are the roots of the quadratic equation x^(2)-3.x-2=0, find a quadratic equation whose roots are (1)/(2 alpha+beta) and (1)/(2 beta+alpha)

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

If alpha and beta are the roots of the quadratic equation x^(2) + px + q = 0 , then form the quadratic equation whose roots are alpha + (1)/(beta), beta + (1)/(alpha)

If alpha and beta are the roots of the quadratic equation 17x^2+43x-73=0 , construct a quadratic equation whose roots are a +2 and beta +2 .

If alpha and beta are the roots of the quadratic equation x^(2) + sqrt(2) x + 3=0 form a quadratic equation with roots (1)/(alpha) and (1)/(beta)

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

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

If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the quadratic equation whose roots are -alpha and -beta :

If alpha and beta are the roots of the quadratic equation x^2-3x-2=0 , then alpha/beta+beta/alpha=