Hi!
<u>Positive</u> <u>discriminants</u> will give you <u><em>two</em></u> <u>solutions</u>.
<u>Discriminants</u> <u>equal</u> <u>to</u> <u>zero</u> will give you <u><em>one</em></u> <u>solution</u>.
<u>Negative</u> <u>discriminants</u> will give you <u><em>no</em></u> <u>solutions</u>.
In a graph, the number of solutions is where the graph crosses the x-axis.
In the first graph, we can see it intersects the graph at two points: (2, 0) and (6, 0). Since there are two solutions it is a positive discriminant.
In the second graph, we can see it intersects at one point: the origin, or (0, 0). Since there is one solution it is a discriminant equal to zero.
In the third graph, we can see it doesn't intersect; it is above the x-axis. Since there are no solutions it is a negative discriminant.
<u><em>For similar problems, see:</em></u>
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