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Math Help - Discrete question: The square of an integer has the form..

  1. #1
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    Discrete question: The square of an integer has the form..

    I need some help with this question. I think I got it but need steps to double check and make sure I understand it. Thanks.

    "The square of an integer has the form 4k or 4k+1 for some integer k. Prove or disprove the statement."
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  2. #2
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    Quote Originally Posted by Kitizhi View Post
    I think I got it
    Awesome!! Let's see your work and hear your ideas.
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  3. #3
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    assume k^2 = n for some integer of k

    if even n = 2k by def
    so..
    n^2 = (2k)^2
    n^2 = 4k^2
    n^2 = 4n

    if odd n = 2k+1 by def
    so..
    n^2=(2k+1)
    n^2=4k^2+1
    n=4n+1

    is that correct? i aint really too sure but i kinda makes sense to me
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  4. #4
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    can someone verfiy for me if I am correct please
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  5. #5
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    Looks good to me!
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