`(x+1)/(x+2)` nguyên `<=> (x+1)\ vdots (x+2)`
`<=>(x+2)-1\ vdots (x+2)`
`<=>-1\ vdots (x+2)`
`<=>x+2\ in {-1;1}`
`<=>x\ {-3;-1}`.
x+1x+2x+1x+2 nguyên ⇔(x+1) ⋮(x+2)⇔(x+1) ⋮(x+2)
⇔(x+2)−1 ⋮(x+2)⇔(x+2)-1 ⋮(x+2)
⇔−1 ⋮(x+2)⇔-1 ⋮(x+2)
⇔x+2 ∈{−1;1}⇔x+2 ∈{-1;1}
⇔x {−3;−1}⇔x {-3;-1}.
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