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Math Help - Bisection method

  1. #1
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    Bisection method

    Use the bisection method to find the root of:

    x = e^-x
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  2. #2
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    Read "The Method" from here.

    Bisection method - Wikipedia, the free encyclopedia

    Choose a=-1 and b=1 as endpoints for the first iteration

    Now find c the midpoint that bisects the interal. c = \frac{b+a}{2} = \frac{1-1}{2} = 0

    find f(a), f(b) and f(c)

    You will find

    f(a) = f(-1)<0

    f(b) = f(1) >0

    f(c) = f(0) <0

    So now as f(c) < 0 choose it and f(b) > 0 to be the new interval as they have opposite signs as so on. The interval will get smaller and converge on the solution.
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