This week in precalc, I learned how to tell if quadratic equations are real, equal, unreal, or unequal, using their graph.

For a graph to be real and unequal, it must have two x intercepts on a graph, giving it two real solutions.

For it to be real and equal, it must have one x intercept, giving it a single solution.

If it’s unreal and unequal, it will have no x intercept, giving it no real solutions.