Let `alpha+ibeta(alpha,beta in R)` be a root of the equation `x^3+q x+r=0,q ,r in Rdot` Find a real cubic equation, independent of `alphaa n dbeta` , whose one roots is `2alphadot`

Let alpha+ibeta,alpha, beta epsilon R , be a root of the equation x^(3)+qx+r=0p,q,r epsilonR . Find a real cubic equation, independent of alpha and beta , whose one root 2 alpha .

Let alpha+i beta;alpha,beta in R, be a root of the equation x^(3)+qx+r=0;q,r in R. A real cubic equation,independent of alpha& beta, whose one root is 2 alpha is x^(3)+qx-4=0 (b) x^(3)-qx+4=0x^(3)+2qx+r=0 (d) None of these

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 :

Let alpha , beta be the roots of the equation (x-a) (x-b) = c , cne 0 , then find the roots of the equation (x - alpha) (x -beta) + c = 0

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

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