1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to Find Y?

  1. Apr 30, 2007 #1
    ¿How to Find Y?

    Hi, I have this equation and I need to find Y in terms of X. Could anyone explain me, step by step, how to do it?

    X=(Y-2)/3 - 1/3Y

    Sorry if there is any grammar mistakes, english isn't my native language.
  2. jcsd
  3. May 1, 2007 #2
    Y cancels out as you see:

    X = (Y-2)/3 - 1/3 Y = Y/3 - 2/3 - Y/3 = -2/3
  4. May 1, 2007 #3


    User Avatar
    Science Advisor
    Gold Member

    There is a little ambiguity, but I'll assume that the last term is1/(3Y), not (1/3)Y (repetit assumption). In that case, multiply all terms by Y and you will get a quadratic equation in Y, with X as part of the coefficient of the linear term. Solve the quadratic for Y and you will have your answer (actually two answers).
  5. Jun 22, 2007 #4
    Thanks, it was 1/(3Y). My fault.
  6. Jun 22, 2007 #5


    User Avatar

    Staff: Mentor

    Welcome to the PF, 0000. Please be sure to post homework and coursework questions like this one in the Homework Help forums here on the PF (where I've moved this thread to), and not in the general forums.

    Now, can you write out the quadratic equation as mathman has suggested, and show us how you would solve it?
  7. Jun 22, 2007 #6

    Ok, berkeman

    X=(Y-2)/3 - 1/(3Y)

    yx=y((y-2)/3) - 1/(3Y))

    yx=(y^2 - 2y)/3 -y/3y)

    yx=(y^2 - 2y)/3 - 1/3

    yx=(y^2 - 2y - 1)/3

    y^2 - 2y - 1 - 3yx=0

    y^2 - y(2+3x) - 1 = 0

    b=-(2+3x) = (-2 - 3x)

    y=((2+3x)±√(9x^2 + 12x + 8))/2
    Last edited: Jun 23, 2007
  8. Jun 23, 2007 #7


    User Avatar
    Science Advisor
    Homework Helper

    You forgot a 3 there. It's correct on the next line though.

    Are you sure? Check what happens if you work out the brackets in the second line. I think it's a minus sign off.

    The idea is correct though, just watch the minuses :)
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: How to Find Y?
  1. Help me find y (Replies: 7)

  2. Find y (Replies: 2)