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Math Help - Help completing the square.

  1. #1
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    Help completing the square.

    The function is defined for real values of x. By writing it in completed-square form, find its range.

    f(x)=x^2-6x-+10

    Thank you!!
    Last edited by mr fantastic; October 2nd 2009 at 06:33 PM. Reason: Changed post title
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  2. #2
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    x^2-6x+10 = x^2-6x+9+1 = (x-3)^2 +1

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  3. #3
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    Hi there

    To complete the square you should consider the following

     f(x)=x^2-6x-10

    You need to find a new constant term by taking the middle term, halving it then squaring it. This gives...

     f(x)=(x^2-6x+9)-10-9

     f(x)=(x^2-6x+9)-19

     f(x)=(x-3)^2-19

    Now the square is complete.

    The notation in your original post is ambigous. Defunkt's example may be what you're looking for.
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