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Math Help - Find equation of ellipse

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

    center at (2,4), focus at (7,4), contains point (5,8)
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  2. #2
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    Re: Find equation of ellipse

    Quote Originally Posted by sluggerbroth View Post
    center at (2,4), focus at (7,4), contains point (5,8)
    \frac{(x-2)^2}{a^2} + \frac{(y-4)^2}{b^2} = 1

    c = 5

    since the focal length is in the y-direction ...

    b^2 = a^2 + c^2

    substitute the given coordinates for x and y and solve for a^2 and b^2
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  3. #3
    Member sluggerbroth's Avatar
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    Re: Find equation of ellipse

    algebra gets really, really messy??? or am i doing something wrong?????
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    Re: Find equation of ellipse

    Quote Originally Posted by sluggerbroth View Post
    algebra gets really, really messy??? or am i doing something wrong?????
    I don't know ... you haven't shown any work.
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  5. #5
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    Re: Find equation of ellipse

    check that ... focus is in the x-direction (excuse my numerical dyslexia)

    should be a^2 = b^2 + c^2
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