Abstract :
We derived an algorithm to find the real roots of the homogeneous quadratic equation, Ax2+2Bxw+Cw2=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.
Keywords :
computational geometry; equations; mathematics computing; quadratic programming; homogeneous quadratic equation; real root; tabular form; Chromium; Equations; Stability; Standards publication; Switches; quadratic equations; Algorithms; Computer Graphics; Mathematics; Numerical Analysis, Computer-Assisted;
