How to solve a quadratic equation. Part 2

We derived an algorithm to find the real roots of the homogeneous quadratic equation, Ax/sup 2/+2Bxw+Cw/sup 2/=0. Because the equation is homogeneous, a root consists of an [x, w] pair where any nonzero multiple represents the same root. We strove to find an algorithm that didn't blow up no matter what values of A, B, and C we were given, including various combinations of zeroes. At the end of the article the author wrote the final algorithm in tabular form.