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X^3/2 - 2x^-1/2 + x^1/2 Help! Factoring!

  1. Nov 1, 2013 #1
    I'm looking to factor this...


    X^3/2 - 2x^-1/2 + x^1/2

    The text book offers the solution 1-x ^4/3

    No idea how to get this result. I got X ^-3/2 (x-1)^2
    I would like it if someone could shed light on how to factor x^-3/2 from things like 2x ^1/2
    I assume you just keep the equation balance, so if you re-distribute everything, it reverts to the original.

    I would like to know how you get the answer too.

    Thanks so much!
     
  2. jcsd
  3. Nov 1, 2013 #2
    Maybe you can do substitution, say ##u = x^{1/2}##?
     
  4. Nov 2, 2013 #3

    pwsnafu

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    Science Advisor

    Both look wrong
    Mod note: Removed complete answers.
     
    Last edited by a moderator: Nov 2, 2013
  5. Nov 2, 2013 #4

    Student100

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    Education Advisor
    Gold Member

    So why are you looking to factor this, what exactly are you trying to obtain???

    Also this should go in homework help, fyi.

    edit:
    Pwan just gave your answer, but is this what you're even looking for?
     
    Last edited: Nov 2, 2013
  6. Nov 2, 2013 #5
    To my delight and perhaps also not to my delight, I got the correct answer, but used the wrong answer key. Sorry guys, won`t happen again.

    Also sorry for posting in the wrong section, I was rather fatigued at the moment of posting.

    I`m just going to go sit in the corner now.
     
  7. Nov 2, 2013 #6
    To my delight and perhaps also not to my delight, I got the correct answer, but used the wrong answer key. Sorry guys, won`t happen again.

    Also sorry for posting in the wrong section, I was rather fatigued at the moment of posting.

    I`m just going to go sit in the corner now.
     
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