This week in Pre-Calc 11 we learned about the discriminant. The discriminant is the part underneath the root sign of the quadratic formula (b²-4ac), it helps us determine the nature of roots in the equations that we are working with so here’s how to use it.

So there are 3 solutions you can get from the discriminant positive which means the equation has two solutions, 0 that means the equation has one solution and if the discriminant is negative that means there is no solution.

Here is the first example with the discriminant being positive.

Next here is an example with the discriminant being zero.

Lastly, here is an example of the discriminant being negative.