Step: 1	x = 1 is not the root of the given quadratic equation x2 – 2x – 3 = 0	The given quadratic equation is x2 – 2x - 3 = 0 If x = 1 is to be its root, then if we substitute x = 1 in the given quadratic equation, we must get: L.H.S. = 0 = R.H.S., i.e., the value of the given quadratic equation should become zero. Hence, substitute x = 1 in L.H.S. of x2 – 2x – 3 = 0 L.H.S. = x2 – 2x – 3 = (1)2 – 2(1) – 3              = 1 – 2 – 3 = – 4 (R.H.S.) Hence, x = 1 is not the root of the given quadratic equation.
Step: 2	x = – 3 is also not the root of the given quadratic equation x2 – 2x – 3 = 0	Substituting x = – 3 in the given quadratic equation x2 – 2x – 3 = 0 we get: L.H.S. = x2 – 2x – 3 = (– 3)2 – 2 (– 3) – 3 = 9 + 6 – 3 = 12 (R.H.S.) Hence, x = – 3 is not the root of the given quadratic equation x2 – 2x – 3 = 0.