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completing the square : ウィキペディア英語版
completing the square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form
:ax^2 + bx + c\,\!
to the form
: a(\cdots\cdots)^2 + \mbox.\,
In this context, "constant" means not depending on ''x''. The expression inside the parenthesis is of the form (''x'' + constant). Thus
:ax^2 + bx + c\,\! is converted to
: a(x + h)^2 + k\,
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 often applied in any computation involving quadratic polynomials. Completing the square is also used to derive the quadratic formula.
==Overview==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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