lf `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 nonzero real numbers and a z^2+b z+c+i=0 has purely imaginary roots, then prove that a=b^2c

If a,b,c are nonzero real numbers and az^(2)+bz+c+i=0 has purely imaginary roots,then prove that a=b^(2)c.

Let a, b, c be non-zero real roots of the equation x^(3)+ax^(2)+bx+c=0 . Then

Let a, b, c be real numbers such that a+b+clt0 and the quadratic equation ax^(2)+bx+c=0 has imaginary roots. Then

If a,b,c are positive real numbers, then the roots of the equation ax^(2) + bx + c =0

If a, b and c are positive real and a = 2b + 3c , then the equation ax^(2) + bx + c = 0 has real roots for

If a, b and c are positive real and a = 2b + 3c , then the equation ax^(2) + bx + c = 0 has real roots for