What is the quadratic equation and what does it do?
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A quadratic equation describes a curve on a graph. The most important thing that they do is allow you to concisely describe a curve rather than needing to describe every point on the curve.
One of the most common uses of quadratics is in compression of information. Polynomials (of which quadratics are the most basic) are used in the compression algorithms for digital music, for example.
Instead of recording every single sample at a given sample rate, the averages between samples are recorded as polynomials which take up much less space.
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