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Thread: Solving Equation

  1. September 26th 2009, 09:25 AM #1
    lil_cookie
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    Solving Equation

    The Question: 5x^{7/6}-5=0

    I can get to this part: x^{7/6}=11 but I don't know what to do next

    Thanks for the help!
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  2. September 26th 2009, 09:43 AM #2
    josipive
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    what you have is equal to ... \sqrt[6]{x^{7}} = 11

    hope that this is little easier
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  3. September 26th 2009, 09:47 AM #3
    lil_cookie
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    Thanks but how can I get the x to be alone
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  4. September 26th 2009, 11:30 AM #4
    Defunkt
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    If x^t = s, then x = x^{t \cdot \frac{1}{t}} = s^{ \frac{1}{t}}

    Do you follow?
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  5. September 26th 2009, 12:52 PM #5
    lil_cookie
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    Sorry still dont follow...


    Edit: Oh I got it...thank you
    Last edited by mr fantastic; September 26th 2009 at 03:36 PM. Reason: Merged posts
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  6. September 28th 2009, 03:20 AM #6
    josipive
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    ok you can see
     \sqrt[6]{x^{7}} = 11
    from that...
    \sqrt[6]{x^{7}}     is greater than 0
    so
    x^{7}= 11^{6}
    or

     x = \sqrt[7]{ 11^6 }
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