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Math Help - find equation of ellipse

  1. #1
    Member sluggerbroth's Avatar
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    find equation of ellipse

    with minor vertices (-3,4) and (1,4) and eccentricity=4/5

    book says answer is

    {(x+1)^2}/4 + {(y-4)^2/100/9}=1

    buy i cannot get this answer????? HELP!!!!!
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  2. #2
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    Re: find equation of ellipse

    Quote Originally Posted by sluggerbroth View Post
    with minor vertices (-3,4) and (1,4) and eccentricity=4/5
    book says answer is{(x+1)^2}/4 + {(y-4)^2/100/9}=1
    You should know that \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1.
    Where (h,k) is the midpoint of the axis.
    Here a=2. WHY?
    Using the eccentricity, how do you b~?
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