Ta có: `a/a` `+ b +` `b/b` `+ c +` `c/c` `+ a`, với `a, b, c` là số dương.
`=>` `a/a` `+ b +` `b/b` `+ c +` `c/c` `+ a` `>` `a/a` `+ b + c +` `b/b` `+ c + a +` `c/b` `+ c + a` `=` `a + b +` `c/a` `+ b + c = 1`
`-` Nên: `1 < M`
`=>` `M` `= ( b -` `b/a` `+ b ) + ( 1 -` `c/b` `+ c ) + ( 1 -` `c/a` `+ c ) < 3 - (` `b/a` `+ b + c +` `c/b` `+ c + a +` `a/c` `+ a + b )` `=` `3 - 1 = 2`
`-` Nên: `M < 2`
- Vậy: `1 < M < 2` ( với `M` $\notin$ `Z` )
@ Rin gửi
- Xin hay nhất ạ!