Explore the quadratic formula's derivation and real-world applications in this 31-minute video celebrating Maths Week London. Learn the 'completing the square' method through examples before deriving the quadratic formula. Apply the equation to solve problems in football penalty placement and archery projectile motion. Follow along as Dr. Tom Crawford, a University of Oxford mathematician, breaks down complex mathematical concepts into engaging, practical examples. Dive into topics such as 'completing the square,' quadratic formula derivation, perfect penalty placement in football, and projectile motion calculations for archery.