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Math Help - Mod 5

  1. #1
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    Mod 5

    How do I show that this (see below) has no solutions?

    2+b^3\equiv b \ (\text{mod} \ 5)
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  2. #2
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    Re: Mod 5

    Quote Originally Posted by dwsmith View Post
    How do I show that this (see below) has no solutions?

    2+b^3\equiv b \ (\text{mod} \ 5)
    Just use every possiblity. b=0,1,2,3,4 and show none of them make the equation true!
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  3. #3
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    Re: Mod 5

    Quote Originally Posted by TheEmptySet View Post
    Just use every possiblity. b=0,1,2,3,4 and show none of them make the equation true!
    I was hoping for a clearing way.
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