`a)` Có `4n-5 vdots 2n-1`
`=>2(n-1)-3 vdots 2n-1`
`=>3 vdots 2n-1`
`=>2n-1 in Ư(3)={±1;±3}`
`=> 2n in {0;2;4;-2}`
`=> n in {0;1;2;-1}`
`n \in N`
`=> n in {0;1;2}`
`b)` `n^2-2n+5 vdots n + 2`
`=>(n-4)(n+2)+13 vdots n+2`
`=>13 vdots n+2`
`=>n+2 in Ư(13)={±1;±13}`
`=> n in {-1;-3;11;-15}`
Mà `n in N`
`=>n=11`
`c)` `n^2+4 vdots n+2`
`=> n^2+2n-2n-4+8 vdots n+2`
`=> n(n+2)-2(n+2)+8 vdots n+2`
`=> 8 vdots n+2`
`=> n+2 \in Ư(8)={1,2,4,8} `
`=> n \in { 0, 2, 6}`