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Published byJulian Boyd Modified over 11 years ago
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101 uses of a quadratic equation Chris Budd
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Is the quadratic equation evil? And does anyone care?
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Babylonians Counted in Base 60
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x x x x Area Area
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Quadratic equation Solutions
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X = 1.4142135623730950488… A4 Paper
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Conic sections Cone Appolonius
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Ellipse
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Parabola
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Hyperbola
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Ellipse Parabola Hyperbola All these curves obey quadratic equations
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How conic sections caused a revolution
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Copernicus
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Tycho Brahe Kepler
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Galileo Studied how things move and found that they obeyed quadratic equations
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Cars do ….... Was the car speeding? Forensic evidence: collision damage, witness statements, skid marks THUD!!
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s distance of skid u speed F brake force Quadratic equation links them together Solving the equation gives the speed
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Parabola So do rugby balls ….
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Sir Isaac Newton Explained the link and also invented the reflecting telescope based on the parabola
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Newton discovered differential equations Used to explain almost everything Pendulums Car suspensions Musical instruments Radios and TV
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Euler finds the solution Solve the quadratic equation to solve the differential equation And millions of important problems
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Quadratic equations take flight Speed Pressure Bernouilli
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Chaotic quadratic equations Bee population x evolves every year
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a = 2 Population settles down population
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a = 3 Boom and bust population
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a = 4 Chaos population
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Are you still frightened of me?
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