What does completing the square mean?

Definitions for completing the square
com·plet·ing the square

This dictionary definitions page includes all the possible meanings, example usage and translations of the word completing the square.

Wikipedia

  1. Completing the square

    In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form a x 2 + b x + c {\displaystyle ax^{2}+bx+c} to the form a ( x − h ) 2 + k {\displaystyle a(x-h)^{2}+k} for some values of h and k. In other words, completing the square places a perfect square trinomial inside of a quadratic expression. Completing the square is used in solving quadratic equations, deriving the quadratic formula, graphing quadratic functions, evaluating integrals in calculus, such as Gaussian integrals with a linear term in the exponent, finding Laplace transforms.In mathematics, completing the square is often applied in any computation involving quadratic polynomials.

Wikidata

  1. Completing the square

    In algebra, completing the square is a technique for converting a quadratic polynomial of the form to the form In this context, "constant" means not depending on x. The expression inside the parenthesis is of the form . Thus for some values of h and k. Completing the square is used in ⁕solving quadratic equations, ⁕graphing quadratic functions, ⁕evaluating integrals in calculus, such as Gaussian integrals with a linear term in the exponent ⁕finding Laplace transforms. In mathematics, completing the square is considered a basic algebraic operation, and is often applied without remark in any computation involving quadratic polynomials.

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Numerology

  1. Chaldean Numerology

    The numerical value of completing the square in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of completing the square in Pythagorean Numerology is: 3


Translations for completing the square

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"completing the square." Definitions.net. STANDS4 LLC, 2024. Web. 27 Jul 2024. <https://www.definitions.net/definition/completing+the+square>.

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