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Math Help - Analytical solution needed

  1. #1
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    Analytical solution needed

    I have solved the following equation: 85e^(-2x) + 25e^(-0.1x) - 10 = 0 by using One point iteration and Newton Raphson's methods but I need the analytical solution in order to find the true answer. Can someone guide me through the steps for solving it? Thank you!
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  2. #2
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    Re: Analytical solution needed

    Hey Petko.

    Hint: Try letting u = e^(-0.1x) and you'll get a polynomial and then see if you can get a kind of "completed square" form for the equation (I'm just throwing ideas your way not giving a solution).
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  3. #3
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    Re: Analytical solution needed

    And I'll throw in a trivial observation - you can divide each coefficient by 5.

    - Hollywood
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