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Math Help - lagrange polinomial methos

  1. #1
    MHF Contributor
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    lagrange polinomial methos

    how (x^2+3xy+5xz)+2y^2+5z^2+6yz=(x+1.5y+2.5z)^2-(1.5y+2.5z)^2+2y^2+5z^2+6yz

    cant undersyand the transition
    of course if i open right side scopes i will get te lefy side one

    but i cant understand how they get the from left to right side transition
    espesially how they got
    (x+1.5y+2.5z)^2
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: lagrange polinomial methos

    Gauss method:

    x^2+3xy+5xz =

     x^2+x(3y+5z)=

    \left(x+\frac{1}{2}(3y+5z)\right)^2-\frac{1}{4}(3y+5z)^2=

    (x+1.5y+2,5z)^2-(1.5y+2.5z)^2
    Last edited by FernandoRevilla; August 6th 2011 at 06:26 AM.
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