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x^2 + 1 == 0 (mod 5^3).

Find all solutions.

How do i know how many solutions there are? If i reduce it to

x^2 + 1 == 0 (mod 5), i get that x= 2,3,7,8,12, etc.

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# X^2 + 1 = 0 (mod 5^3).

**Physics Forums | Science Articles, Homework Help, Discussion**