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- Thread starter Stratosphere
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cepheid

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[tex] x^{2} + 8x + 22 [/tex]

as

[tex] (x+4)^{2} +6 [/tex]

which is done by completing the square, rather than finding out the values of x.

The quadratic formula would give you [tex] \frac{-8 \pm \sqrt{8^{2} - 4(1)(22)}}{2(1)} [/tex] which gives non-real answers.

With certain integrals that have fractions with polynomials in them, completing the square might be easier (especially if the values for x are decimals rather than whole numbers or as i n the example above).

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Ok thanks for the help.

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Thus, it turns out that B^2-4C = (a-b)^2. And thus [tex]-B+\sqrt {(a-b)^2 }[/tex] allows us to seperate out the roots. This method seems to ignores the question of completing the square.

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symbolipoint

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Inverse Laplace transforms come to mind/

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