x+3⋮x-5
⇒(x-5)+8⋮x+3
Vì x-5⋮x-5
⇒8⋮x-5
⇒x-5ϵƯ(8)={1;2;4;8}
⇒xϵ{6;7;9;13}
Vậy xϵ{6;7;9;13}
(x +3 ) ⋮ (x-5)
=> (x+3)-(x-5) ⋮(x-5)
=> (x+3-x+5)⋮(x-5)
=> 8⋮(x-5)
=> x-5∈Ư(8)=\(\left\{\pm1;\pm2;\pm4;\pm8\right\}\)
ta có bảng sau:
| x-5 | -8 | -4 | -2 | -1 | 1 | 2 | 4 | 8 |
| x | -3 | 1 | 3 | 4 | 6 | 7 | 9 | 13 |
vậy x∈{-3;1;3;4;6;7;9;13}
