Consider a quadratic equation `ax^(2)+bx+c=0"where"a,b,c inR and a ne 0` such that `a+ b+clt0.` Then which of the following alternative (s) is/are true ?

Options

A. If `alt0` then both roots of the quadratic equation must be non-real,
B. If `agt0` then both roots of the quadratic equation lies on either side of 1.
C. If `alt0` then both roots of the quadratic equation may be real and equal
D. If `agt0` then both roots of the quadratic equatin are smaller than 1.