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Math Help - solve quadratic congruences

  1. #1
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    solve quadratic congruences

    I know this might be a stupid one, but could anyone explain the whole process for me,


    X^2= 7 (mod 3^3)
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  2. #2
    o_O
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     x^2 \equiv  7 \ (\text{mod } 27)

    \Leftrightarrow x^2 \equiv 169 \ (\text{mod } 27) (adding the modulus to 7: 7 + 6(27) = 169)

    Why 169? 169 is a perfect square

    Does that help now?
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