Question

Given that the discriminant of a quadratic equation is 8, determine the number of real solutions.

Answer 1

Answer:

There are two real solutions.

Step-by-step explanation:

There are only three possible solutions for the discriminant of a quadratic equation:

1. D < 0

In this case there are no real solutions. The graph does NOT intersect with the x-axis.

2. D = 0

In this case there is exactly one real solution. The graph touches the x-axis in one point, which is called the Top.

3. D > 0

In this case there are two real solutions. The graph intersects the x-axis in two points.