34 chia hết cho (x+5) 55 chia hết cho (13-x) (x+5) chia hết cho (x-2) (x-9) chia hết cho (x+4)

`a) 34 \vdots x + 5`

`=> x + 5 in Ư(34) = {1; -1; 2; -2; 17; -17; 34; -34}`

`=> x + 5 in {1; -1; 2; -2; 17; -17; 34; -34}`

`=> x in {-4; -6; -3; -7; 12; -22; 29; -39}`

Vậy `x in {-4; -6; -3; -7; 12; -22; 29; -39}`

`b) 55 \vdots 13 - x`

`=> 13 - x in Ư(55) = {1; -1; 5; -5; 11; -11; 55; -55}`

`=> 13 - x in {1; -1; 5; -5; 11; -11; 55; -55}`

`=> x in {12; 14; 8; 18; 2; 24; -42; 68}`

Vậy `x in {12; 14; 8; 18; 2; 24; -42; 68}`

`c) x + 5 \vdots x - 2`

`    x - 2 \vdots x - 2`

`=> [(x + 5) - (x - 2)] \vdots x - 2`

`=> 7 \vdots x - 2`

`=> x - 2 in Ư(7) = {1; -1; 7; -7}`

`=> x - 2 in {1; -1; 7; -7}`

`=> x in {3; 1; 9; -5}`

Vậy `x in {3; 1; 9; -5}`

`d) x - 9 \vdots x + 4`

`    x + 4 \vdots x + 4`

`=> [(x - 9) - (x + 4)] \vdots x + 4`

`=> -13 \vdots x + 4`

`=> x + 4 in Ư(-13) = {1; -1; 13; -13}`

`=> x + 4 in {1; -1; 13; -13}`

`=> x in {-3; -5; 9; -17}`

Vậy `x in {-3; -5; 9; -17}`