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Math Help - Transposition of a formula

  1. #1
    Newbie evanator's Avatar
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    Question Transposition of a formula

    Hello everyone,

    I didn't know how to proceed with the following question:


    Given q = \sqrt{(5p^2 - 1)^2 -2} find p in terms of q


    I started off by squaring both sides, which I am pretty sure is the right thing to do, but I still can't figure out how to get p on its own on the left hand side.


    In the back of the book the answer is p = \sqrt{\frac{\sqrt{q^2 + 2} + 1}{5}}


    I tried to work backwards from this, but I still can't figure it out. Any help would be appreciated.

    Regards,

    evanator
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  2. #2
    Senior Member Stroodle's Avatar
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    q^2=(5p^2-1)^2-2

    q^2+2=(5p^2-1)^2

    5p^2-1=\pm\sqrt{q^2+2}

    p^2=\frac{\pm\sqrt{q^2+2}+1}{5}

    p=\pm\sqrt{\frac{\pm\sqrt{q^2+2}+1}{5}}
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  3. #3
    Newbie evanator's Avatar
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    Thanks!
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