1. Limited time only! Sign up for a free 30min personal 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!

Find Equation for Hyperbola or Ellipse

  1. Apr 17, 2010 #1
    1. The problem statement, all variables and given/known data

    6x2 + 8y2 + 32y - 16 = 0
    2. Relevant equations

    3. The attempt at a solution

    I think I made a mistake.

    This is how far I got


    I made a mistake. Can someone delete this thread?

    What did I do wrong?
    Last edited: Apr 17, 2010
  2. jcsd
  3. Apr 17, 2010 #2


    Staff: Mentor

    I can't tell what you did wrong since you didn't show your work, but the equation you ended with isn't right.

    6x2 + 8y2 + 32y - 16 = 0
    <==> 6x2 + 8y2 + 32y = 16
    Now complete the square in the y terms so that the equation becomes
    [tex]\frac{x^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]

    Since there is no first-degree x term in the original equation, don't try to complete the square in the x terms.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Find Equation for Hyperbola or Ellipse