Completing the Square/Also presented as

Completing the Square: Also presented as

Completing the square can also be presented in the form:

$a x^2 + b x + c = \dfrac {\paren {2 a x + b}^2 - \paren {b^2 - 4 a c} } {4 a}$

Some present the result as a solution to the monic form $x^2 + b x + c$:

$x^2 + b x + c = \paren {x + \dfrac b 2}^2 + c - \paren {\dfrac b 2}^2$

in this or a similar form.


Sources

  • 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): complete the square
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