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Math Help - Solve each Equation by Completing the Square.

  1. #1
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    Solve each Equation by Completing the Square.

    Solve each equation by completing the square.

    3p^2-12p+2=0(divide 3 to sides)
    p^2-4p+2/3=0
    p^2-4p+4=-2/3+4

    I am lost after this

    I am not sure if I am doing this right because the answer is going to be 6-+√30/3
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  2. #2
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    Re: Solve each Equation by Completing the Square.

    Carrying on from where you are (p-2)^2=10/3 So p-2=+or-root(10/3)
    root(10/3)=root10/root3 Multiply top and bottom by root3 gives root10root3/3=root30/3 So positive answer is 2+root30/3= (6+root30)/3
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  3. #3
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    Re: Solve each Equation by Completing the Square.

    Are you saying that you do not know how to add fractions? Surely not! Get a common denominator: -2/3+ 4= -2/3+ 12/3= 10/3.

    Of course, the whole point of "completing the square" is that the left side is now a "perfect square":
    p^2- 4p+ 4= (p- 2)^2= 10/3. Take the square root of both sides.
    Last edited by HallsofIvy; March 31st 2012 at 08:22 AM.
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