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a) 1 ⋮ (x + 7)
=> \(x\inƯ_{\left(1\right)}\Rightarrow x\in\left\{-8;-6\right\}\) e) (2x - 9) ⋮ (x - 5)
b) 4 ⋮ (x - 5)
\(\Rightarrow x-5\inƯ_{\left(4\right)}\Rightarrow x\in\left\{9;1;-7;-3;6;-6\right\}\) g) (x2 - x - 1) ⋮ (x - 1)
c) (x +8) ⋮ (x + 7)
Ta có\(\left(x+8\right)⋮\left(x+7\right)\Leftrightarrow x+7+1⋮x+7\)
mà x+7\(⋮\)x+7
=>\(1⋮x+7\Rightarrow x+7\inƯ\left(1\right)\Rightarrow x\in\left\{-6;-8\right\}\)
d) (2x + 16) ⋮ (x + 7)
Lập luận tương tự câu c
\(\Rightarrow2\left(x+7\right)+2⋮x+7\Rightarrow x+7\inƯ\left(2\right)\Rightarrow x\in\left\{5;-9;-6;-8\right\}\)
l) (2x2 + 3x + 2) ⋮ (x + 1)
\(\Leftrightarrow2\left(x+1\right)\left(x+1\right)-\left(x+1\right)+1⋮x+1\)
\(\Rightarrow x+1\inƯ\left(1\right)\Rightarrow x\in\left\{0;-2\right\}\)
Các câu còn lại làm tương tự nhé
a) 1\(⋮\)(x+7)
=> x+7 \(\in\)Ư(1) => x \(\in\){-1;1}
Có: x+7= -1 => x= -8
x+7=1 => x= -6
Vậy x \(\in\){-8;-6}
b) 4 \(⋮\)( x-5)
=> x-5 \(\)Ư (4)= { -1;1;-4;4}
Có: x-5= -1 => x= 4
x-5= 1=> x = 6
x-5= -4=> x = 1
x-5= 4=> x = 9
Vậy x \(\in\){1;4;6;9}
Mik làm ms đc có nhiêu đây thôi, mik bận ròi, khi nào rảnh mik làm tiếp cho nha. chúc bạn hok tốt
\(a,1⋮\left(x+7\right)\)
\(\Rightarrow x+7\inƯ\left(1\right)=\left\{\pm1\right\}\)
Ta lập bảng xét giá trị
| x+7 | 1 | -1 |
| x | -6 | -8 |
\(b,4⋮x-5\)
\(x-5\inƯ\left(4\right)=\left\{\pm1;\pm2;\pm4\right\}\)
Ta lập bảng xét giá trị
| x-5 | 1 | -1 | 2 | -2 | 4 | -4 |
| x | 6 | -4 | 7 | 3 | 9 | 1 |
a; -2\(x\) - 3.(\(x-17\)) = 34 - 2.( - \(x\) + 25)
- 2\(x\) - 3\(x\) + 51 = 34 + 2\(x\) - 50
2\(x\) + 2\(x\) + 3\(x\) = - 34 + 50 + 51
7\(x\) = 67
\(x\) = 67 : 7
\(x\) = \(\dfrac{67}{7}\)
Vậy \(x\) = \(\dfrac{67}{7}\)
b; 17\(x\) + 3.(- 16\(x\) - 37) = 2\(x\) + 43 - 4\(x\)
17\(x\) - 48\(x\) - 111 = 2\(x\) - 4\(x\) + 43
- 31\(x\) - 2\(x\) + 4\(x\) = 111 + 43
- \(x\) x (31 + 2 - 4) = 154
- \(x\) x (33 - 4) = 154
- \(x\) x 29 = 154
- \(x\) = 154 : (-29)
\(x\) = - \(\dfrac{154}{29}\)
Vậy \(x=-\dfrac{154}{29}\)
a/ \(2x+\frac{1}{7}=\frac{1}{3}\)
=> \(2x=\frac{1}{3}-\frac{1}{7}=\frac{7}{21}-\frac{3}{21}\)
=> \(2x=\frac{4}{21}\)
=> \(x=\frac{4}{21}:2=\frac{4}{21}.\frac{1}{2}=\frac{2}{21}\)
b/ \(3\left(x-\frac{1}{2}\right)=\frac{4}{9}\)
=> \(x-\frac{1}{2}=\frac{4}{9}:3=\frac{4}{9}.\frac{1}{3}\)
=> \(x-\frac{1}{2}=\frac{4}{27}\)
=> \(x=\frac{4}{27}+\frac{1}{2}=\frac{8}{54}+\frac{27}{54}=\frac{35}{54}\)
c/ \(\left(x-5\right)^2+4=68\)
=> \(\left(x-5\right)^2=68-4=64\)
=> \(\left[{}\begin{matrix}x-5=8\\x-5=-8\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=8+5=13\\x=-8+5=-3\end{matrix}\right.\)
d/ \(\left(\left|x\right|-\frac{1}{2}\right)\left(2x+\frac{3}{2}\right)=0\)
=> \(\left[{}\begin{matrix}\left|x\right|-\frac{1}{2}=0\\2x+\frac{3}{2}=0\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}\left|x\right|=0+\frac{1}{2}=\frac{1}{2}\\2x=0-\frac{3}{2}=-\frac{3}{2}\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}\left[{}\begin{matrix}x=\frac{1}{2}\\x=-\frac{1}{2}\end{matrix}\right.\\x=-\frac{3}{2}:2=-\frac{3}{2}.\frac{1}{2}=-\frac{3}{4}\end{matrix}\right.\)
e) \(5x+2=3x+8\)
=> \(5x-3x=8-2=6\)
=> \(2x=6\)
=> \(x=6:2=3\)
f/ \(26-\left(5-2x\right)=27\)
=> \(5-2x=26-27=-1\)
=> \(2x=5-\left(-1\right)=5+1=6\)
=> \(x=6:2=3\)
g/ \(\left(4x-8\right)-\left(2x-6\right)=4\)
=> \(4x-8-2x+6=4\)
=> \(\left(4x-2x\right)+\left(-8+6\right)=4\)
=> \(2x+-2=4\)
=> \(2x=4+2=6\)
=> \(x=6:2=3\)
h/ \(\left(x+3\right)^3:3-1=-10\)
=> \(\left(x+3\right)^3:3=-10+1=-9\)
=> \(\left(x+3\right)^3=-9.3=-27\)
=> \(x+3=-3\)
=> \(x=-3-3=-6\)