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101 uses of a quadratic equation Chris Budd. Is the quadratic equation evil?. And does anyone care?. Babylonians. Counted in Base 60. x. Area. x. Area. x. x. Quadratic equation. Solutions. X = 1.4142135623730950488…. A4 Paper. Conic sections. Appolonius. Cone. Ellipse. Parabola.
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101 uses of a quadratic equation Chris Budd
Is the quadratic equation evil? And does anyone care?
Babylonians Counted in Base 60
x Area x Area x x
Quadratic equation Solutions
X = 1.4142135623730950488… A4 Paper
Conic sections Appolonius Cone
EllipseParabolaHyperbola All these curves obey quadratic equations
Kepler Tycho Brahe
Galileo Studied how things move and found that they obeyed quadratic equations
Cars do ….. THUD!! .. Was the car speeding? Forensic evidence: collision damage, witness statements, skid marks
sdistance of skid uspeed F brake force Quadratic equation links them together Solving the equation gives thespeed
So do rugby balls …. Parabola
Sir Isaac Newton Explained the link and also invented the reflecting telescope based on the parabola
Newton discovered differential equations • Used to explain almost everything • Pendulums • Car suspensions • Musical instruments • Radios and TV
Euler finds the solution Solve the quadratic equation to solve the differential equation And millions of important problems
Quadratic equations take flight Speed Bernouilli Pressure
Chaotic quadratic equations Bee population x evolves every year
population a = 2Population settles down
population a = 3Boom and bust
population a = 4 Chaos