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

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Answer:

There are two real solutions.

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.

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