101 uses of a quadratic equation

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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
Area
x
Area
x
x
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Quadratic equation
Solutions
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X 1.4142135623730950488
A4 Paper
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Conic sections
Appolonius
Cone
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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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Kepler
Tycho Brahe
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Galileo
Studied how things move and found that they
obeyed quadratic equations
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Cars do ..
THUD!!
.. Was the car speeding?
Forensic evidence collision damage,
witness statements,
skid marks
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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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So do rugby balls .
Parabola
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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
Bernouilli
Pressure
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Chaotic quadratic equations
Bee population x evolves every year
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population
a 2 Population settles down
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population
a 3 Boom and bust
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population
a 4 Chaos
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Are you still frightened of me?