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Quadratic


The Latin prefix quadri- is used to indicate the number 4, for example, quadrilateral, quadrant, etc. However, it also very commonly used to denote objects involving the number 2. This is the case because quadratum is the Latin word for square, and since the area of a square of side length x is given by x^2, a polynomial equation having exponent two is known as a quadratic ("square-like") equation. By extension, a quadratic surface is a second-order algebraic surface.

By analogy, since the volume of a cube of side length x is x^3, a polynomial equation having exponent three is called a cubic equation. An equation of degree four is then unimaginatively called a quartic equation, or sometimes (more commonly in older sources) a biquadratic equation.


See also

4, Quadratic Equation, Quadratic Surface

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Cite this as:

Weisstein, Eric W. "Quadratic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Quadratic.html

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