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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

    4(x-4)^+3(y+9)^=120


    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

    Mark44

    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.
     
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