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Math Help - Hyperbolic Graph Problem

  1. #1
    Junior Member
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    Hyperbolic Graph Problem

    Hi,
    please find attached the problem and the short and sweet Answer.
    I can't understand the last step of the answer.
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  2. #2
    Super Member
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    Quote Originally Posted by trojsi View Post
    Hi,
    please find attached the problem and the short and sweet Answer.
    I can't understand the last step of the answer.
    <br />
-2e^k + 4e^{-k} = -2<br />

    Moving everything to the left

    <br />
-2e^k + 2 + 4e^{-k} = 0<br />

    Factorising  -2e^{-k}

    <br />
-2e^{-k}(e^{2k} - e^k -2) = 0<br />

    Divide both sides by  -2e^{-k}

     <br />
e^{2k} - e^k -2 = 0<br />
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  3. #3
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    tnx a lot so simple.. yet so much to assimilate

    thanks again

    Brandon
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