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Math Help - Lagrange Multipliers

  1. #1
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    Lagrange Multipliers

    'Find the coordinates of the point on the sphere (x − 2)^2 + y^2 + z^2 = 1 which is at the greatest distance from the point (1,2,3). Show that this distance is 1 +Sqrt(14).'

    The problem here is that i am getting 2 different lagrange multipliers. Namely
    1+Sqrt(15) and 1-Sqrt(15). How do i know which one is the right one to use?

    Thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by DeFacto View Post
    'Find the coordinates of the point on the sphere (x − 2)^2 + y^2 + z^2 = 1 which is at the greatest distance from the point (1,2,3). Show that this distance is 1 +Sqrt(14).'

    The problem here is that i am getting 2 different lagrange multipliers. Namely
    1+Sqrt(15) and 1-Sqrt(15). How do i know which one is the right one to use?

    Thanks
    One will correspond to the maximum and the other the minimum distance.

    CB
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