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What are some real world applications of completing the square?

Real world applications" of completing the square kind of misses the point of carrying out that process. "Completing the square" is one of a large number of algebraic manipulations that one uses to convert an algebraic expression into a simpler form. And the whole subject of algebra has to do with solving algebraic equations. So like the "quadratic" formula, and various other techniques for factoring and simplifying algebraic expressions, the motive is to obtain an expression that is easy to solve an algebraic equation with the minimum amount of pain and discomfort.

Vince Calder

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