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Math Help - How would I graph this?

  1. #1
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    How would I graph this?

    How would I go about graphing the equation:

    5x^2+9y^2=45

    ?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by deathtolife04 View Post
    How would I go about graphing the equation:

    5x^2+9y^2=45

    ?
    There are two ways to think about this.

    If you are using a graphing calculator, solve for y:
    y = \pm \sqrt{5 - \frac{5}{9}x^2}

    So graph the two pieces:
    y_1 = \sqrt{5 - \frac{5}{9}x^2}
    and
    y_2 = - \sqrt{5 - \frac{5}{9}x^2}

    Otherwise
    5x^2+9y^2=45

    \frac{x^2}{3^2} + \frac{y^2}{(\sqrt{5})^2} = 1
    is an ellipse with a = 3 \text{ and }b = \sqrt{5} centered on (0, 0).

    -Dan
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  3. #3
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    Re:

    Quote Originally Posted by deathtolife04 View Post
    How would I go about graphing the equation:

    5x^2+9y^2=45

    ?
    You can do 2 ways...

    1. Solve for "Y"

    or

    2. Switch X & Y and then flip the graph 90˚ and over...
    Attached Thumbnails Attached Thumbnails How would I graph this?-48.gif  
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  4. #4
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    Re:

    Re:
    Attached Thumbnails Attached Thumbnails How would I graph this?-graph.jpg  
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