If you are looking at a graph of a quadratic equation, how do you determine where the solution are.

Answer 1

The solutions are where the graph intersects the x-axis, or the "zeroes".
The x-coordinates of where the graph cuts the axis form the solution set.

If the graph is tangential to the x-axis, then the roots are coincident (double roots).

If the graph does not cross the x-axis, the roots are complex.