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Math Help - minimum value

  1. #1
    Super Member dhiab's Avatar
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    minimum value

    minimum value
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  2. #2
    Junior Member
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    I think, you need to find intersection of 3 lines and you will have only 1 point (if there are any solution).

    Than it's easy to find min of function f.
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  3. #3
    Junior Member
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    you can start from

    cy+bz=a
    az+cx=b
    bx+ay=c

    z=1/b(a-cy)

    a/b(a-cy)+cx=b
    bx+ay=c

    x=1/b(c-ay)

    a^2/b-(ac/b)y+c^2/b-(ac/b)y=c
    -2(ac/b)y=c-(a^2+c^2)/b
    y=2*(a^2-bc+c^2)/ac

    and now it's easy to find x and z.
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