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Math Help - Converting ellipse equation to standard form

  1. #1
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    Converting ellipse equation to standard form

    I think that this is going to be one of those "duh" questions, but I'm hung up.

    I need to convert 8x^2 + 3y^2 = 12 into the standard form of an ellipse. Dividing by 12, I get (2/3)*(x^2) + (y^2)/4 = 1. How do I handle that 2/3 coefficient? Can I factor it to get 2[(x^2)/3 + (y^2)/8] = 1? When I tried this, I don't get the correct vertices or foci, so I don't think this is the right approach. Can anyone help?

    Thanks!
    Last edited by reastland; January 1st 2011 at 12:20 AM.
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  2. #2
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    \displaystyle \frac{x^2}{3/2}+\frac{y^2}{4}=1
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  3. #3
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    Yep, I knew it: duh! Thanks!
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