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9 April, 20:07

We can solve for x using a technique called successive approximations. step 1: if we assume that x is very small compared to 0.100 (such that 0.100 x ≈ 0.100) then our first approximation of x (let/'s call it x1) can be calculated as

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  1. 9 April, 20:14
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    Supposed that we are given the equation:

    7.20 x 10^-5 = x (0.100+x) ^2

    So assuming that x is very small so that:

    0.100 + x ~ 0.100

    and calling it x1, so:

    7.20 x 10^-5 = x1 (0.100) ^2

    Then we simply solve for x1:

    x1 = 7.20 x 10^-5 / (0.100) ^2

    x1 = 7.20 x 10^-3
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