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Thread: Completing The Square Tutorial

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  1. May 14th, 2008, 01:33 AM #12
    anhn
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    Re: Completing The Square Tutorial

    Generally, you can transform x2 + p.x + q to (x + a)2 + b like this:

    x2 + p.x + q
    = x2 + 2.(p/2).x + (p/2)2 + q - (p/2)2
    = [x2 + 2.(p/2).x + (p/2)2] + [q - (p/2)2]
    = (x + p/2)2 + [q - (p/2)2]
    = (x + a)2 + b
    where a = p/2 and b = q - (p/2)2

    Example:
    x2 + 3.x + 5 = x2 + 2.(3/2).x + (3/2)2 + 5 - (3/2)2
    = (x + 3/2)2 + (5 - 9/4) = (x + 3/2)2 + (11/4 )
    Last edited by anhn; May 14th, 2008 at 01:37 AM.
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