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Math Help - Lagrangian multiplier

  1. #1
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    Lagrangian multiplier

    Ive differentiated to find three equations

    2x - 2ux - uy = 0
    2y - ux - 2uy = 0
    -(x^2 + xy + y^2 - 3) = 0

    and need to find all solutions of x,y, and u. Ive solved for u and found x, y, u, are (1,1, 2/3) (-1,-1,2/3) but cannot find the other two solutions. Any help with that would be much appreciated, thought it had to do with completing the square but I guess not.
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  2. #2
    MHF Contributor
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    Re: Lagrangian multiplier

    See your other thread.
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