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Math Help - Eccentricity of ellipse

  1. #1
    Junior Member froodles01's Avatar
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    Post Eccentricity of ellipse

    I have an ellipse problem, (ellipse centre is (0,0)) I am given a value of it's eccentricity 1/7 √39, along with the identity e = √(1 - (b^2/a^2)) & asked to show how to get from one to the other.

    Obviously I get e = 1/49 √39
    (or e = √39/49)
    by substituting a (7) & b (√10)

    I don't have the identity √((a^2 - b^2) / a) which would solve this, but could anyone suggest how I could go about doing this, please?
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  2. #2
    Junior Member froodles01's Avatar
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    Re: Eccentricity of ellipse

    Of course, once posted the answer comes easily.
    √(39/49) = (√39)/7 = 1/7 √39
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