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Math Help - Conic Sections

  1. #1
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    Conic Sections

    Problem:   4x^2 + 4x +y^2 = 0

    I graph it and I get an elipse, but I cant figure out how to get it into the form:
    \frac{x^2}{a^2} + \frac{y^2}{b^2} =1

    I've using the form:

     b^2x^x + a^2y^2 = a^2b^2

    and setting:

    a^2b^2 = -4x

    But, nothing came good out of that.

    Any suggestions?
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  2. #2
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    Quote Originally Posted by Sw0rDz View Post
    Problem:   4x^2 + 4x +y^2 = 0

    I graph it and I get an elipse, but I cant figure out how to get it into the form:
    \frac{x^2}{a^2} + \frac{y^2}{b^2} =1

    I've using the form:

     b^2x^x + a^2y^2 = a^2b^2

    and setting:

    a^2b^2 = -4x

    But, nothing came good out of that.

    Any suggestions?
    4x^2 + 4x +y^2 = 0

    4\left(x^2 + x + \frac{1}{4}\right) + y^2 = 1<br />

    4\left(x + \frac{1}{2}\right)^2 + y^2 = 1

    \frac{\left(x + \frac{1}{2}\right)^2}{\left(\frac{1}{2}\right)^2} + \frac{y^2}{1^2} = 1
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  3. #3
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    Quote Originally Posted by skeeter View Post
    4x^2 + 4x +y^2 = 0

    4\left(x^2 + x + \frac{1}{4}\right) + y^2 = 1<br />

    4\left(x + \frac{1}{2}\right)^2 + y^2 = 1

    \frac{\left(x + \frac{1}{2}\right)^2}{\left(\frac{1}{2}\right)^2} + \frac{y^2}{1^2} = 1

    Awh!! Thankyou!
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