Revise the methods of solving a quadratic equation including factorising and the quadratic formula. See a worked example of how to solve graphically.

In diagram A, we can see that this parabola has 2 roots, diagram B has 1 root and diagram C has no roots. What type of roots the equation has can be shown by the discriminant.

Yilei Wu, Yingli Qin, Mu Zhu, QUADRATIC DISCRIMINANT ANALYSIS FOR HIGH-DIMENSIONAL DATA, Statistica Sinica, Vol. 29, No. 2 (2019), pp. 939-960 ...

The quadratic equation is an ancient staple of mathematics that dates back to ancient Babylonians in 2000 BC. It was originally devised as a way to help calculate problems involving rectangles ...

Hirofumi Wakaki, Comparison of Linear and Quadratic Discriminant Functions, Biometrika, Vol. 77, No. 1 (Mar., 1990), pp. 227-229 ...