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

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

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

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

Let alpha and beta be the roots of the equation px^(2) + qx + r=0 . If p, q, r in AP and alpha+beta =4 , then alpha beta is equal to

If alpha , beta be the roots of the equation x^2-px+q=0 ,form the quadratic equation whose roots are 2alpha-beta , 2beta-alpha

If alpha,beta are the roots of lthe equation 2x^2-3x-6=0, find the equation whose roots are alpha^2+2a n dbeta^2+2.

If alpha,beta are the roots of lthe equation 2x ^2-3x-6=0, find the equation whose roots are alpha^2+2a n dbeta^2+2.