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arsen
[322]
4 years ago
12
For a certain positive integer n, n^2 gives a remainder of 4 when divided by 5, and n^3 gives a remainder of 2 when divided by 5
. What remainder does n give when divided by 5?
Mathematics
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answer:
antoniya
[11.8K]
4 years ago
8
0
N^3 - n^ = -2 = 3 mod 5 => n^2(n-1) = 3 mod 5 8 = 3 mod 5, n^2 = 4 mod 5 => n-1 = 2 mod 5 so n = 3 mod 5
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