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Show that square of any positive integer is of the form of `5m,5m+1,5m-1` for some integer m. |
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Answer» `(5n-2)^2=25n^2+4-20n=5(n^2-4n+1)-1=5m-1` `(5n-1)^2=25n^2+1-10n=5(5n^2-22n)+1=5m+1` `(5n)^2=25n^2=5(5n^2)=5m`. |
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