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Math Help - Completing the Square

  1. #1
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    Completing the Square

    Can someone please show me exactly how to copmlete the quare for this problem. The *** will help you find what part.

    Thanks

    the goal is to get the equation in the following form ...



    where (h,k) are the center coordinates and r is the radius.




    start by dividing every term by 4 ...



    group the x-vales and y-values together, move the constant ...



    ***you now want to complete the square for both x and y ... half the coefficient of each linear term, square the result, and add to both sides of the equation ...



    factor the quadratic trinomials of x and y ...



    now, do you "see" h, k, and r?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Atav20 View Post
    Can someone please show me exactly how to copmlete the quare for this problem. The *** will help you find what part.

    Thanks

    the goal is to get the equation in the following form ...



    where (h,k) are the center coordinates and r is the radius.




    start by dividing every term by 4 ...



    group the x-vales and y-values together, move the constant ...



    ***you now want to complete the square for both x and y ... half the coefficient of each linear term, square the result, and add to both sides of the equation ...



    factor the quadratic trinomials of x and y ...



    now, do you "see" h, k, and r?
    um, yes, i can see them. *points* they're right there. h = -4, k = 4 and r = 3

    good job on completing the square, by the way

    (you have a typo in the second to last line. it should be -8y not -8x
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