Question

[Đinh Hồng Nhung]

c,10 chia hết cho [2x+1]

d,x+13 chia hết cho x+1

f,2x+108 chia hết cho 2x+3

m,3x+4 chia hết cho x+1

Answer 1

[๖²⁴ʱんuﾘ ｲú❄✎﹏]

\(c,10⋮2x+1\)

\(\Rightarrow2x+1\inƯ\left(10\right)=\left\{\pm1;\pm2;\pm5;\pm10\right\}\)

Ta có bảng 

2x+1	1	-1	2	-2	5	-5	-10	10
2x	0	-2	1	-3	4	-6	-11	9
x	0	-1	1/2	-3/2	2	-3	-11/2	9/2

\(d,x+13⋮x+1\)

\(x+1+12⋮x+1\)

\(\Rightarrow x+1⋮x+1\)

\(\Rightarrow12⋮x+1\)

\(\Rightarrow x+1\inƯ\left(12\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\right\}\)

Ta có bảng 

x+1	1	-1	2	-2	3	-3	4	-4	6	-6	12	-12
x	0	-2	1	-3	2	-4	3	-5	5	-7	11	-13

Bn tự KL cả 2 phần ... 
 

Answer 2

[๖²⁴ʱんuﾘ ｲú❄✎﹏]

\(f,2x+108⋮2x+3\)

\(\Rightarrow\left(2x+3\right)+105⋮2x+3\)

\(\Rightarrow2x+3⋮2x+3\)

\(\Rightarrow105⋮2x+3\)

\(\Rightarrow2x+3\inƯ\left(105\right)=\left\{\pm1;\pm3;\pm7;\pm15;\pm21;\pm35;\pm105\right\}\)

Ta lập bảng xét 

2x+3	1	-1	3	-3	7	-7	15	-15	21	-21	35	-35	105	-105
2x	-2	-4	0	-6	4	-10	12	-18	18	-24	32	-38	102	-108
x	-1	-2	0	-3	2	-5	6	-9	9	-12	16	-19	51	-54

Tự KL ....