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1. a, 3x + |x - 2| = 8
<=> |x - 2| = 8 - 3x
Xét 2 TH :
TH1: x - 2 = 8 - 3x
<=> x + 3x = 8 + 2
<=> 4x = 10
<=> x = \(\dfrac{5}{2}\) (thỏa mãn)
TH2: x - 2 = -(8 - 3x)
<=> x - 2 = -8 + 3x
<=> -2 + 8 = 3x - x
<=> 6 = 2x
<=> x = 3 (thỏa mãn)
b, 5 - |x - 1| = 4
<=> |x - 1| = 1
<=> \(\left[{}\begin{matrix}x-1=1\\x-1=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\) (thỏa mãn)
@Nguyễn Hoàng Vũ
2. 5.(x - 2) - 4.(1 - 3x) = |3 - 7| + 2.(1 + 2x)
<=> 5x - 10 - 4 + 12x = 4 + 2 + 4x
<=> 17x - 14 = 6 + 4x
<=> 17x - 4x = 6 + 14
<=> 13x = 20
<=> x = \(\dfrac{20}{13}\) (thỏa mãn)
@Nguyễn Hoàng Vũ
b)
\(x-2.\left(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}\right)=\frac{16}{9}\)
\(x-2\cdot\left(\frac{1}{3}-\frac{1}{9}\right)=\frac{16}{9}\)
\(x-2=\frac{16}{9}:\left(\frac{1}{3}-\frac{1}{9}\right)\)
\(x-2=8\)
=> x = 10
a)
\(A=\frac{1}{2}.\frac{2}{3}\cdot\frac{3}{4}\cdot\cdot\cdot\frac{2013}{2014}\cdot\frac{2014}{2015}\cdot\frac{2015}{2016}\)
\(A=\frac{1}{2016}\)
Bài 1:
\(\left(-\dfrac{72}{40}-\dfrac{144}{60}-2\dfrac{1}{3}\right):\left(\dfrac{45}{100}-\dfrac{25}{60}+-\dfrac{75}{25}\right)\)
\(=\left(-\dfrac{9}{5}-\dfrac{12}{5}-\dfrac{7}{3}\right):\left(\dfrac{9}{20}-\dfrac{5}{12}+-3\right)\)
\(=\left(-\dfrac{27}{15}-\dfrac{36}{15}-\dfrac{21}{15}\right):\left(\dfrac{27}{60}-\dfrac{25}{60}+-3\right)\)
\(=\left(-\dfrac{28}{5}\right):\left(-\dfrac{89}{30}\right)\)
\(=\left(-\dfrac{28}{5}\right).\left(-\dfrac{30}{89}\right)\)
\(=\dfrac{168}{89}\)
a/\(5x\cdot\left(x-\frac{1}{3}\right)=0\)
Chia làm 2 TH :
TH 1: \(5x=0\Rightarrow x=0\)
TH 2:\(x-\frac{1}{3}=0\Rightarrow x=\frac{1}{3}\)
\(\Rightarrow x\in\left\{0;\frac{1}{3}\right\}\)
b/\(\left(x+\frac{1}{4}\right)\cdot\left(x-\frac{3}{7}\right)=0\)
Chia làm 2 Th
Th1 : \(x+\frac{1}{4}=0\Rightarrow x=-\frac{1}{4}\)
Th2 :\(x-\frac{3}{7}=0\Rightarrow x=\frac{3}{7}\)
\(\Rightarrow x\in\left\{-\frac{1}{4};\frac{3}{7}\right\}\)
1) \(5x\left(x-\frac{1}{3}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}5x=0\\x-\frac{1}{3}=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x=\frac{1}{3}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=\frac{1}{3}\end{cases}}\)
2) \(\left(x+\frac{1}{4}\right)\left(x-\frac{3}{7}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+\frac{1}{4}=0\\x-\frac{3}{7}=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-\frac{1}{4}\\x=\frac{3}{7}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-\frac{1}{4}\\x=\frac{3}{7}\end{cases}}\)
>> Với toán lớp 6 chắc đề bài là tìm x,y nhỉ ? . Lần sau bạn nhớ viết tên đề bài nhé ;) <<
a) \((x−3).(y−2)=7\)
\(\Rightarrow\left(x\text{−}3\right)\inƯ\left(7\right)\)
\(\Rightarrow x\text{−}3\in\left\{1;\text{−}1;7;\text{−}7\right\}\)
Ta có bảng sau :
\(x\text{−}3\) | \(1\) | \(−1\) | \(7\) | \(−7\) |
\(x\) | \(4\) | \(2 \) | \(10\) | \(\text{−}4\) |
\(y−2\) | 7 | −7 | 1 | −1 |
\(y\) | 9 | −5 | 3 | 1 |
Vậy .....
b) \((x−1).(y−1)=2\)
\(\Rightarrow\left(x\text{−}1\right)\inƯ\left(2\right)\)
\(\Rightarrow x\text{−}1\in\left\{1;\text{−}1;2;\text{−}2\right\}\)
Ta có bảng sau :
x−1 | 1 | −1 | 2 | −2 |
x | 2 | 0 | 3 | −1 |
y−1 | 2 | −2 | 1 | −1 |
y | 3 | −1 | 2 | 0 |
Vậy ......
c) \((x−1).(y−2) = 2\)
\(\Rightarrow x\text{−}1\inƯ\left(2\right)\)
\(\Rightarrow x\text{−}1\in\left\{1;\text{−}1;2;\text{−}2\right\}\)
Ta có bảng sau :
x−1 | 1 | −1 | 2 | −2 |
x | 2 | 0 | 3 | −1 |
y−2 | 2 | −2 | 1 | −1 |
y | 4 | 0 | 3 | 1 |
Vậy ...
=> (7+x).(3+x2)=0
TH1:
7+x=0
x=0-7
x=-7
TH2: 3+x2=0
=>
\(x\in\)0Vậy x=-7