It is proved that at least one of the three parabola y = CX ^ 2 + 2aX + B, y = ax ^ 2 + 2bx + C, y = BX ^ 2 + 2cx + A. (a, B, C are non-zero real numbers) has intersection with X axis To the contrary, be more specific. Within an hour

It is proved that at least one of the three parabola y = CX ^ 2 + 2aX + B, y = ax ^ 2 + 2bx + C, y = BX ^ 2 + 2cx + A. (a, B, C are non-zero real numbers) has intersection with X axis To the contrary, be more specific. Within an hour

prove:
Suppose that there is no intersection between three parabola and x-axis
Δ1=4a^2-4bc