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26 December, 09:55

The function f (x) = g (x), where f (x) = 2x-5 and g (x) = x^2-6. The table below shows the process of solving using successive approximations. Continue this process to find the positive solution to the nearest 10th.

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  1. 26 December, 10:18
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    Given:

    f (x) = g (x)

    and

    f (x) = 2x - 5

    g (x) = x^2 - 6

    To solve for the values of x:

    equate: f (x) = g (x)

    2x - 5 = x^2 - 6

    isolate all terms to the left:

    x^2 - 2x - 6 + 5 = 0

    simplify

    x^2 - 2x + 1 = 0

    (x-1) ^2 = 0

    therefore: x = 1
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