Express `x_1^3+x_2^3` in terms of the coefficients of the equation `x^2+px+q=0` where `x_1 & x_2` are the roots of the equation

The roots of the equation x^(2)+px+q=0 are 1 and 2 .The roots of the equation qx^(2)-px+1=0 will be

IF 3+ 4i is a root of the equation x^2 +px +q=0 then

If the roots of the equation x^(2)+px+q=0 are the cubes of the roots of the equation x^(2)+mx+n=0, then

3+4i is a root of the equation x^(2)+px+q=0 then

Let x_1 , x_2 , be the roots of the equation x^2 - 3x +p=0 and let x_3 , x_4 be the roots of the equation x^2 - 12 x + q =0 if the numbers x_1 , x_2 , x_4 ( in order ) form an increasing G.P then

If alpha,beta are the roots of the equation x^(2)+px+q=0, then -(1)/(alpha),-(1)/(beta) are the roots of the equation.

If p and q are the roots of the equation x^2+px+q =0, then