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Math Help - simple algebra help

  1. #1
    josh
    Guest

    Exclamation simple algebra help

    i'm working w/ 2 algebra problems that I can't figure out. i am studying for a test and can't understand these two questions!!!!!

    Problem #1 - solve for Q
    2Q = (400+Q)/Q

    Problem #2 - solve for Q
    (20+5Q+500)/Q = 20+10Q

    Thanks for your quick response.
    Last edited by josh; January 27th 2007 at 08:34 PM. Reason: need help quickly!!!
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  2. #2
    Senior Member
    Joined
    Apr 2006
    Posts
    401
    Quote Originally Posted by josh View Post
    i'm working w/ 2 algebra problems that I can't figure out. i am studying for a test and can't understand these two questions!!!!!

    Problem #1 - solve for Q
    2Q = (400+Q)/Q

    Problem #2 - solve for Q
    (20+5Q+500)/Q = 20+10Q

    Thanks for your quick response.
    1.) 2Q^2 = 400 + Q

    2Q^2 - Q - 400 = 0

    Use quadratic formula on the above;

    You'll get roughly: Q = -13.89 V Q = 14.39

    Q = (-sqrt(3209) + 1)/4 V Q = (sqrt(3201) + 1)/4, respectively, to be precise.

    2.) (20 + 5Q + 500)/Q = 20 + 10Q

    20 + 5Q + 500 = 20Q + 10Q^2

    520 - 15Q = 10Q^2

    0 = 10Q^2 + 15Q - 520

    Again, use quadratic formula;

    Q = -8 V Q = 13/2
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