Posted by **Terri** on Friday, April 11, 2008 at 4:10pm.

Find the set of all integers, n, for which the fraction

20/(10-n*n) is an integer

I used n*n for n squared

I figured that 10-n*n must be a factor of 20 and the only answer that ended up working was +-3, is this right?

- algebra 2 -
**drwls**, Friday, April 11, 2008 at 6:24pm
20/(10 -n^2) must be 20, 10, 5, 4 , 2 or 1, with n an integer.

n can only be +/- 3 or 0.

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