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 roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is

If alpha, beta, gamma are the roots of the cubic equation x^(3)+qx+r=0 then the find equation whose roots are (alpha-beta)^(2),(beta-gamma)^(2),(gamma-alpha)^(2) .

If alpha, beta are the roots of x^(2)-3x+1=0 , then the equation whose roots are (1/(alpha-2),1/(beta-2)) is

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is

If alpha, beta are the roots of the equationn x^(2)-3x+5=0 and gamma, delta are the roots of the equation x^(2)+5x-3=0 , then the equation whose roots are alpha gamma+beta delta and alpha delta+beta gamma is

If alpha,beta are roots of x^2-px+q=0 then find the quadratic equation whose roots are ((alpha^2-beta^2)(alpha^3-beta^3)) and alpha^2beta^3+alpha^3beta^2

If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 Find the equations whose roots are (i) beta gamma +1/(alpha), gamma alpha+1/(beta), alpha beta+1/(gamma) (ii) (beta+gamma-alpha),(gamma+alpha-beta),(alpha+beta-gamma) Also find the valueof (beta+gamma-alpha)(gamma+alpha-beta)(alpha+beta-gamma)

If alpha and beta are the roots of the equation x^(2)-x+1=0, alpha^(2009)+beta^(2009 is equal to

If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+3qx-1=0 , then find the centroid of the triangle whose vertices are (alpha, (1)/(alpha)), (beta, (1)/(beta)) and (gamma, (1)/(gamma)) .

If alpha, beta be the roots of the equation ax^2 + bx + c= 0 and gamma, delta those of equation lx^2 + mx + n = 0 ,then find the equation whose roots are alphagamma+betadelta and alphadelta+betagamma