Quadratic equations are basic to algebra and are the math behind parabolas, projectiles, satellite dishes and the golden ratio.

Learn how to form, manipulate and solve quadratic equations. Revise expansion of expressions and factorising and forming quadratics.

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form.

Babylonians, in particular, would solve simultaneous equations to find the roots of a quadratic. Egyptians, Grecians, Indians, and Chinese peoples used graphical methods to solve the equations.

Many former algebra students have painful memories of struggling to memorize the quadratic formula. A new way to derive it, overlooked for 4,000 years, is so simple it eliminates the need.