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Thread: find to three terms the square root

  1. #1
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    find to three terms the square root

    Q: find to three terms the square root
    a) $ 1+ 4x$

    The problem is that i am trying to use the idea of using an identity such as $a^2+2ab+c^2$ to help find the answer based on trial and error such as $(1 + \frac{2}{x} + x)^2$
    but i cannot did the right answer
    please help
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  2. #2
    MHF Contributor

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    Re: find to three terms the square root

    I'm not clear on what you are doing. What does it mean to "find the square root of 1+ 4x to three terms"? What are "terms" here? I suspect that you are meant to expand \sqrt{1+ 4x} in a power series and keep the first three terms. You could use "MacLaurin series" with f(x)= (4x+ 1)^{1/2} and keep the first three 'terms'.
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