1.

Find the number of positive integers n such that 105 is a divisor of n^(2)+n+1

Answer»


SOLUTION :The digit in the unit place of `n(n+1)+1` is 1,3, or 7
`IMPLIES` 5 does not divides `n^(2)+n+1`
`implies` 105 is not a divisor of `n(n+1)+1`,


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