# Definitions for completing the squarecom·plet·ing the square

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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.

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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.

### 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

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"completing the square." Definitions.net. STANDS4 LLC, 2024. Web. 30 May 2024. <https://www.definitions.net/definition/completing+the+square>.

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