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\(\dfrac{x}{3}\)< 0 => x = -2
\(\dfrac{x}{3}\)= 0 => x = 0
0 < \(\dfrac{x}{3}\) < 1 => x = 2
\(\dfrac{x}{3}\)= 1 => x = 3
1 < \(\dfrac{x}{3}\) ≤ 2 => x ∈ { 4; 5; 6}
Nhớ tick cho mik nha
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(x-1\inƯ\left(-3\right)=\left\{\pm1;\pm3\right\}\)
x-1 | 1 | -1 | 3 | -3 |
x | 2 | 0 | 4 | -2 |
b, \(2x-1\inƯ\left(-4\right)=\left\{\pm1;\pm2;\pm4\right\}\)
2x-1 | 1 | -1 | 2 | -2 | 4 | -4 |
x | 1 | 0 | loại | loại | loại | loại |
c, \(\dfrac{3\left(x-1\right)+10}{x-1}=3+\dfrac{10}{x-1}\Rightarrow x-1\inƯ\left(10\right)=\left\{\pm1;\pm2;\pm5;\pm10\right\}\)
x-1 | 1 | -1 | 2 | -2 | 5 | -5 | 10 | -10 |
x | 2 | 0 | 3 | -1 | 6 | -4 | 11 | -9 |
d, \(\dfrac{4\left(x-3\right)+3}{-\left(x-3\right)}=-4-\dfrac{3}{x+3}\Rightarrow x+3\inƯ\left(-3\right)=\left\{\pm1;\pm3\right\}\)
x+3 | 1 | -1 | 3 | -3 |
x | -2 | -4 | 0 | -6 |
![](https://rs.olm.vn/images/avt/0.png?1311)
a: =>1/2x=7/2-2/3=21/6-4/6=17/6
=>x=17/3
b: =>2/3:x=-7-1/3=-22/3
=>x=2/3:(-22/3)=-1/11
c: =>1/3x+2/5x-2/5=0
=>11/15x=2/5
hay x=6/11
d: =>2x-3=0 hoặc 6-2x=0
=>x=3/2 hoặc x=3
![](https://rs.olm.vn/images/avt/0.png?1311)
a,A = \(\dfrac{3}{x-1}\)
A \(\in\) Z \(\Leftrightarrow\) 3 ⋮ \(x-1\) ⇒ \(x-1\) \(\in\) { -3; -1; 1; 3}
\(x\) \(\in\) { -2; 0; 2; 4}
b, B = \(\dfrac{x-2}{x+3}\)
B \(\in\) Z \(\Leftrightarrow\) \(x-2\) \(⋮\) \(x+3\) ⇒ \(x+3-5\) \(⋮\) \(x+3\)
⇒ 5 \(⋮\) \(x+3\)
\(x+3\) \(\in\){ -5; -1; 1; 5}
\(x\) \(\in\) { -8; -4; -2; 2}
a.\(A=\dfrac{3}{x-1}\)có giá trị là 1 số nguyên khi \(3\) ⋮ \(x-1.\)
\(\Rightarrow x-1\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}.\)
Ta có bảng:
\(x-1\) | \(1\) | \(-1\) | \(3\) | \(-3\) |
\(x\) | \(2\) | \(0\) | \(4\) | \(-2\) |
TM | TM | TM | TM |
Vậy \(x\in\left\{-2;0;2;4\right\}.\)
b.\(B=\dfrac{x-2}{x+3}\)có giá trị là 1 số nguyên khi \(x-2\) ⋮ \(x+3.\)
\(\Rightarrow\left(x+3\right)-5⋮x+3.\)
Mà x+3 ⋮ x+3 \(\Rightarrow\) Ta cần: \(-5⋮x+3\Rightarrow x+3\inƯ\left(-5\right)=\left\{\pm1;\pm5\right\}.\)
Ta có bảng:
\(x+3\) | \(1\) | \(-1\) | \(5\) | \(-5\) |
\(x\) | \(-2\) | \(-4\) | \(2\) | \(-8\) |
TM | TM | TM | TM |
Vậy \(x\in\left\{-8;-4;-2;2\right\}.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(\dfrac{x}{2}=-\dfrac{5}{y}\Rightarrow xy=-10\Rightarrow x;y\inƯ\left(-10\right)=\left\{\pm1;\pm2;\pm5;\pm10\right\}\)
x | 1 | -1 | 2 | -2 | 5 | -5 | 10 | -10 |
y | -10 | 10 | -5 | 5 | -2 | 2 | -1 | 1 |
c, \(\dfrac{3}{x-1}=y+1\Rightarrow\left(y+1\right)\left(x-1\right)=3\Rightarrow x-1;y+1\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)
x - 1 | 1 | -1 | 3 | -3 |
y + 1 | 3 | -3 | 1 | -1 |
x | 2 | 0 | 4 | -2 |
y | 2 | -4 | 0 | -2 |
b: =>xy=12
\(\Leftrightarrow\left(x,y\right)\in\left\{\left(12;1\right);\left(6;2\right);\left(4;3\right)\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{-3}{x-1}+\dfrac{1}{x}+\dfrac{2}{x+2}=0\left(ĐKXĐ:x\notin\left\{1;0;-2\right\}\right)\\ \Leftrightarrow\dfrac{-3x\left(x+2\right)+\left(x-1\right)\left(x+2\right)+2x\left(x-1\right)}{\left(x-1\right).x.\left(x+2\right)}=0\\ \Leftrightarrow-3x^2-6x+x^2+2x-x-2+2x^2-2x=0\\ \Leftrightarrow-7x-2=0\\ \Leftrightarrow x=\dfrac{-2}{7}\)
Chọn B
![](https://rs.olm.vn/images/avt/0.png?1311)
câu c) mang tính mua vui hay gì hả bn
mếu thật thì x=0,x=số nào cx đc(câu trả lời này mang tính mua vui thôi nhé)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x=\dfrac{1}{2}-\dfrac{2}{3}=\dfrac{3-4}{6}=-\dfrac{1}{6}\) là phương án c