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Math Help - ellipse

  1. #1
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    please helpvery urgent

    Length of the major axis of the ellipse 3x^2 + 2y^2 =6
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  2. #2
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    Express in standard form by dividing by 6,
    \frac{x^2}{2}+\frac{y^2}{3}=1
    Thus,
    \frac{x^2}{(\sqrt{2})^2}+\frac{y^2}{(\sqrt{3})^2}=  1
    Thus, the semi y-axis is \sqrt{3} and the semi x-axis is \sqrt{2}. Since, \sqrt{3}>\sqrt{2} it is the one which contains the major axis. Thus, the total length of the major axis is 2\sqrt{3}
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