If a,b,c are real numbers and `Delta`>0 then the roots of `ax^(2)+bx+c=0 `are

If a,b,c are non-zero real numbers and the equation ax^(2)+bx+c+i=0 has purely imaginary roots,then

If a, b, c are odd integers, then the roots of ax^(2)+bx+c=0 , if real, cannot be

If a,b,c are real numbers satisfying the condition a+b+c=0 then the rots of the quadratic equation 3ax^(2)+5bx+7c=0 are

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If alpha,beta are the roots of ax^(2)+bx+c=0 then those of ax^(2)+2bx+4c=0 are

Let a,b,c be real numbers with a =0 and let alpha,beta be the roots of the equation ax^(2)+bx+C=0. Express the roots of a^(3)x^(2)+abcx+c^(3)=0 in terms of alpha,beta