where a, b, and c are constants.
The roots of this equation are the points at which y=0. That is, the roots are where the graph of Eq.(1)
crosses the x-axis.
In the case that a is zero, Eq.(1) is that of the straight line y = bx + c. Then there is only a
single root, or point where the line crosses the x-axis. That point is at (x, y) is (-c/b, 0).
We are interested in the non-trivial case where a is non-zero. The roots of our quadratic are the solutions