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Completing the Square

IGCSE,mathematics,examination,Cambridge,completing the square,equations,transform,trinomials,perfect square,past papers,revision, tutorials
This item is taken from IGCSE Mathematics (0580) Paper 41 of October/November 2014.

To deal with this item, let us summarize the details of the problem:
   (a) Syllabus area: Algebra
   (b) Specific topic: Quadratic Equations

Our goal is to make the left side of the equation to be of the form (x - p)^2 - q. We cannot use factoring for this quadratic since it is not a perfect square trinomial.

Let us then use completing the square:
IGCSE,mathematics,examination,Cambridge,completing the square,equations,transform,trinomials,perfect square,past papers,revision, tutorials
IGCSE,mathematics,examination,Cambridge,completing the square,equations,transform,trinomials,perfect square,past papers,revision, tutorials
IGCSE,mathematics,examination,Cambridge,completing the square,equations,transform,trinomials,perfect square,past papers,revision, tutorials
IGCSE,mathematics,examination,Cambridge,completing the square,equations,transform,trinomials,perfect square,past papers,revision, tutorials
IGCSE,mathematics,examination,Cambridge,completing the square,equations,transform,trinomials,perfect square,past papers,revision, tutorials
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4 comments:

  1. Billy ChangMay 14, 2016 at 2:38 PM

    b-c

    ReplyDelete
  2. Billy ChangMay 14, 2016 at 2:38 PM

    b-(

    ReplyDelete
  3. UnknownMarch 15, 2017 at 11:04 PM

    Provided that the coefficient of x^2 is -1/3,how to calculate?I can follow the above steps in the above situation

    ReplyDelete
    Replies
    1. MathrealmJuly 31, 2020 at 6:21 PM

      In this case, move out first the -1/3 then do the completing the square.

      Delete

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