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Math Help - Help!! find the minimum

  1. #1
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    Changhua
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    Help!! find the minimum

    a, b, c, d R
    and ad-bc=1
    find the minimum of a2+b2+c2+ac+bd

    help me!! thanks
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  2. #2
    MHF Contributor
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    Sep 2012
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    Australia
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    Re: Help!! find the minimum

    Hey li00512.

    Have you been taught multivariable calculus and Lagrange multipliers? There may be a simpler solution, but this a systematic approach for optimization problems.
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  3. #3
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    Mar 2013
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    Changhua
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    Re: Help!! find the minimum

    hi, chiro.
    I want to find a simpler way to solve this problem.
    and I just realized that I mistyped the problem.
    sorry, it should be "find the minimum of a2+b2+c2+d2+ac+bd".
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