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Math Help - Finding solutions

  1. #1
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    Finding solutions

    Find all solutions of the equation x^3 = 2 (a) in Z_11; (b) in Z_13.

    My lecturer isn't helpful and there are no examples in the notes given. Could you please help me with part (b). I should then be able to solve part (a).


    Thanks
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  2. #2
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    Quote Originally Posted by charikaar View Post
    Find all solutions of the equation x^3 = 2 (a) in Z_11; (b) in Z_13.

    My lecturer isn't helpful and there are no examples in the notes given. Could you please help me with part (b). I should then be able to solve part (a).


    Thanks
    Let's talk about a) for example.
    x^3 = 2

    There are only 11 possibilites:
    0^3 \equiv 0

    1^3 \equiv 1

    2^3 \equiv 8

    3^3 \equiv 5

    4^3 \equiv 8

    etc.

    I get x = 7 as the only solution.

    -Dan
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