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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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