Question 193711
The graph y = ax^2 + bx + c is a parabola and where a, b and c are real:

has two different real roots when the discriminant is greater than 0 and the graph cuts across the x-axis twice.

has two equal real roots when the discriminant is equal to 0 and the graph touches the x-axis in one place only.

has two conjugate complex roots when the discriminant is less than 0 and the graph doesn’t cross the x-axis.