Quadratic equations can have two solutions, or roots, and we already know one of them: Since (0, 5) is a point of intersection of the line and the circle, x = 0 must be a solution to our equation.

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.

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

Learn and revise how to solve quadratic equations by factorising, completing the square and using the quadratic formula with GCSE Bitesize AQA Maths.

In a boon to algebra students everywhere, a professor at Carnegie Mellon University has devised a simpler and more efficient way to solve problems involving the quadratic equation.