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Math Help - Ellipses - quick question

  1. #1
    Junior Member symstar's Avatar
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    Ellipses - quick question

    x^2/2+y^2/1=1

    I'm not sure how to get a^2 or b^2 in this problem. My book shows a^2 as 2root2 and b^2 as 2 but gives no explanation as to how they got those answers. I guess my problem is really that I'm not sure how to get the major and minor axis when they aren't numbers that can easily be squared.
    Last edited by symstar; December 13th 2007 at 02:50 PM. Reason: fixed math
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  2. #2
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    Quote Originally Posted by symstar View Post
    (((x^2)/2)+((y^2)/1))=1
    My book shows a^2 as 2root2 and b^2 as 2
    If the book is correct then you have a typo in the question.
    The way you have given it, then b=1.
    Please check it.
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  3. #3
    Junior Member symstar's Avatar
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    That is what the book says (incidentally, this wouldn't be the first error I have found in the solution manual for this book).

    The original problem is: x^2+2y^2=2
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  4. #4
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    Quote Originally Posted by symstar View Post
    That is what the book says (incidentally, this wouldn't be the first error I have found in the solution manual for this book).
    The original problem is: x^2+2y^2=2
    Then the manual has an error in it.
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  5. #5
    Junior Member symstar's Avatar
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    Wonderful!

    Anyways: I still need help on finding the squared versions of the major and minor axis in this problem.

    My understanding is in this problem:

    x^2/2+y^2/1=1 would become a^2=2sqrt2 and b^2=2sqrt1=2*1=2

    Or does b^2 stay as 1^2 ?

    Is that correct?
    Last edited by symstar; December 13th 2007 at 03:00 PM. Reason: fixed
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  6. #6
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    Quote Originally Posted by symstar View Post
    x^2/2+y^2/1=1 would become a^2=2sqrt2 and b^2=2sqrt1=2*1=2
    Or does b^2 stay as 1^2 ?
    I don't know what in the world all of that is about!
    But in the given problem: a^2  = 2\,\& \,b^2  = 1.
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  7. #7
    Junior Member symstar's Avatar
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    Ok, I think I was partly just confusing myself a little. Thanks for your help.
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