(3x -10) : 10 = 20
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a ) 10 x X - 1 - 3 - 5 - 7 - ... - 19 = 2 + 4 + 6 + ... + 20
10 x X - 1 - 3 - 5 - 7 - ... - 19 = 110
10 x X - ( 1 + 3 + 5 + 7 + ... + 19 ) = 110
10 x X - 100 = 110
10 x X = 110 + 100
10 x X = 210
X = 210 : 10
X = 21
![](https://rs.olm.vn/images/avt/0.png?1311)
a) | x + 10 | - ( 5 - 3x ) = ( 4x - 10 ) - ( x - 5 )
=> | x + 10 | = ( 5 - 3x ) + ( 4x - 10 ) - ( x - 5 )
=> | x + 10 | = 5 - 3x + 4x - 10 - x + 5
=> | x +10 | = 0
=> x + 10 = 0
=> x = -10
Vậy...
b) Làm tương tự
Kết quả : | 3x + 21 | = -10 ( vô lí) ( vì |3x+21| >= 0 mà -10<0)
Vậy không tìm được x thỏa mãn bài toán
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Rightarrow\left(3x-1\right)^{20}-\left(3x-1\right)^{10}=0\\ \Rightarrow\left(3x-1\right)^{10}\left[\left(3x-1\right)^{10}-1\right]=0\\ \Rightarrow\left[{}\begin{matrix}3x-1=0\\\left(3x-1\right)^{10}=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}3x-1=0\\3x-1=1\\3x-1=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=\dfrac{2}{3}\\x=0\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Rightarrow x=0\)
Thử \(\left(3x-1\right)^{10}=\left(3.0-1\right)^{10}=\left(-1\right)^{10}=1\)
\(\left(3x-1\right)^{20}=\left(3.0-1\right)^{20}=\left(-1\right)^{20}=1\)
Suy ra \(\left(3x-1\right)^{10}=\left(3x-1\right)^{20}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(3x-1\right)^{10}=\left(3x-1\right)^{20}\)
\(\Rightarrow\left(3x-1\right)^{10}=\left(3x-1\right)^{20}=0\)
\(\Rightarrow\left(3x-1\right)^{10}.\left[\left(3x-1\right)^{10}-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(3x-1\right)^{10}=0\\\left(3x-1\right)^{10}-1=0\end{cases}\Rightarrow\orbr{\begin{cases}3x-1=0\\3x-1=\pm0\end{cases}}}\)
\(\left(+\right)3x-1=0\Rightarrow x=\frac{1}{3}\)
\(\left(+\right)\orbr{\begin{cases}3x-1=1\\2x-1=-1\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{2}{3}\\x=0\end{cases}}}\)
\(\Rightarrow x\in\left\{\frac{1}{3};\frac{2}{3};0\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Vì \(\left(3x-6\right)^{20}=\left(3x-6\right)^{10}\) nên \(3x-6=-1\) hoặc \(3x-6=0\) hoặc \(3x-6=1\)
(+) \(3x-6=-1=>x=\frac{5}{3}\)
(+)\(3x-6=0=>x=2\)
(+) \(3x-6=1=>x=\frac{7}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
10(x-20)=10
x - 20 = 10-10
x - 20 = 0
x = 0 + 20
x = 20
597 - 3x = 9.2
597 -3x = 18
3x = 597 - 18
3x = 579
x = 579 : 3
x = 193
10 + 2x = 1024 : 64
10 + 2x = 16
2x = 16 - 10
2x = 6
x = 6 : 2
x = 3
![](https://rs.olm.vn/images/avt/0.png?1311)
( 3x - 10 ) : 10 = 20
3x - 10 = 20 : 10
3x - 10 = 2
3x = 2 + 10
3x = 12
x = 12 : 3
x = 4
\(\left(3x-10\right):10=20\)
\(3x-10=20\times10\)
\(3x-10=200\)
\(3x=200+10\)
\(3x=210\)
\(x=210:3\)
\(x=70\)