Tìm x biết: /x-5/-/3x+1/=0
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x2( x + 1 ) + 2x( x + 1 ) = 0 <=> x( x + 1 )( x + 2 ) = 0 <=> x = 0 hoặc x = -1 hoặc x = -2
x( 3x - 1 ) - 5( 1 - 3x ) = 0 <=> x( 3x - 1 ) + 5( 3x - 1 ) = 0 <=> ( 3x - 1 )( x + 5 ) = 0 <=> x = 1/3 hoặc x = -5
Trả lời:
1, \(x^2\left(x+1\right)+2x\left(x+1\right)=0\)
\(\Leftrightarrow x\left(x+1\right)\left(x+2\right)=0\)
\(\Leftrightarrow x=0;x=-1;x=-2\)
Vậy x = 0; x = - 1; x = - 2 là nghiệm của pt.
2, \(x\left(3x-1\right)-5\left(1-3x\right)=0\)
\(\Leftrightarrow x\left(3x-1\right)+5\left(3x-1\right)=0\)
\(\Leftrightarrow\left(3x-1\right)\left(x+5\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}3x-1=0\\x+5=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=-5\end{cases}}}\)
Vậy x = 1/3; x = - 5 là nghiệm của pt.
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a,\(\left(x-1\right)^2-\left(2x\right)^2=0< =>\left(x-1-2x\right)\left(x-1+2x\right)=0\)
\(< =>\left(-x-1\right)\left(3x-1\right)=0< =>\orbr{\begin{cases}x=-1\\x=\frac{1}{3}\end{cases}}\)
b,\(\left(3x-5\right)^2-x\left(3x-5\right)=0< =>\left(3x-5\right)\left(3x-5-x\right)=0\)
\(< =>\orbr{\begin{cases}x=\frac{5}{3}\\x=\frac{5}{2}\end{cases}}\)
a, \(\left(x-1\right)^2-\left(2x\right)^2=0\Leftrightarrow\left(x-1-2x\right)\left(x-1+2x\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(3x-1\right)=0\Leftrightarrow x=-1;x=\frac{1}{3}\)
b, \(\left(3x-5\right)^2-x\left(3x-5\right)=0\)
\(\Leftrightarrow\left(3x-5\right)\left(3x-5-x\right)=0\Leftrightarrow\left(3x-5\right)\left(2x-5\right)=0\Leftrightarrow x=\frac{5}{3};x=\frac{5}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Leftrightarrow\left(x+1\right)\left(3x-5\right)=0\)
hay \(x\in\left\{-1;\dfrac{5}{3}\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
3x \((\)x + 1\()\) + 5 \((\)x + 1\()\) \(=\) 0 ⇔ ( 3x + 5 ) ( x + 1) = 0 ⇔ 3x + 5 = 0 x + 1 = 0 ( tự tính nốt nha)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\Leftrightarrow\left(x+2\right)\left(x+2-2x+10\right)=0\)
\(\Leftrightarrow x\in\left\{-2;12\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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a) \(x\left(x+5\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x+5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\)
Vậy \(S=\left\{0;-5\right\}\).
b) \(3x\left(x-1\right)=1-x\)
\(\Leftrightarrow3x\left(x-1\right)-1+x=0\)
\(\Leftrightarrow3x^2-3x-1+x=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-1=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{3}\\x=1\end{matrix}\right.\)
Vậy \(S=\left\{-\dfrac{1}{3};1\right\}\).
![](https://rs.olm.vn/images/avt/0.png?1311)
`(3x-5)(2x-1)-(x+2)(6x-1)=0`
`<=>(6x^2-3x-10x+5)-(6x^2-x+12x-2)=0`
`<=>6x^2-13x+5-6x^2-11x+2=0`
`<=>-24x+7=0`
`<=>-24x=-7`
`<=>x=7/24`
Vậy `S={7/24}`
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(x\in\left\{0;25\right\}\)
c: \(x\in\left\{0;5\right\}\)
Ta có |x - 5| - |3x + 1| = 0
=> |x - 5| = |3x + 1|
=> \(\orbr{\begin{cases}x-5=3x+1\\x-5=-3x-1\end{cases}}\Rightarrow\orbr{\begin{cases}-2x=6\\4x=4\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-3\\x=1\end{cases}}\)
Vậy \(x\in\left\{-3;1\right\}\)là giá trị cần tìm