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Math Help - 4 equations in 4 unknows. help??

  1. #1
    Newbie
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    Nov 2008
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    4 equations in 4 unknows. help??

    Hello im trying to do a Lagrange multipliers problem with 2 constraints. I get 4 equations..

    2*x-lambda2*x - u = 0
    2y-6-lambda - u =0
    y+x^2 -4 =0
    y+x-2=0

    so then i solve and i get x=2,y=0, x=-1, y=3 .. So then i solved for equation 2 and got .. = u = -lambda. Now what do i do is this even right so far?
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  2. #2
    Senior Member
    Joined
    Nov 2008
    Posts
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    Seems so

    i solved it and my solutions are

    y= 0 , x= 2 u= - 28/3 , lambda= 10/3

    y= 3, x= -1 , u = - 2/3 , lambda= 2/3

    However, Im not sure about this: 2*x-lambda2*x - u = 0

    I think it is 2x-2*lambda*x - u=0

    Otherwise lambda2 could be a variable lambda_2
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