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Math Help - Crazy Hyperbola equation!

  1. #1
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    Crazy Hyperbola equation!

    Ok, the problem is to convert this to standard form...

    9x^2-4y^2-18x+16y+11=0, but when I work it out, I get 9(x^2-2x=1)-4(y^2-4Y+4)=4...

    This is not going to work out!

    What is the mistake I am making or what am I not seeing?

    Thanks!
    Stacey
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  2. #2
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    Quote Originally Posted by evrtt013 View Post
    Ok, the problem is to convert this to standard form...

    9x^2-4y^2-18x+16y+11=0, but when I work it out, I get 9(x^2-2x+1)-4(y^2-4Y+4)=4...

    This is not going to work out!

    What is the mistake I am making or what am I not seeing?
    9x^2-4y^2-18x+16y+11=0

    9x^2-4y^2-18x+16y = -11

    9(x^2 - 2x) - 4(y^2 - 4y) = -11

    9(x^2 - 2x + 1) - 4(y^2 - 4y + 4) = -11 + 9 - 16

    4(y-2)^2 - 9(x-1)^2 = 18

    \frac{2(y-2)^2}{9} - \frac{(x-1)^2}{2} = 1
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