Tìm X
42 - 2 × x = 0
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Ta có: \(\left|y+3\right|\ge0\forall y\)
\(\left|2x+y\right|\ge0\forall x,y\)
Do đó: \(\left|y+3\right|+\left|2x+y\right|\ge0\forall x,y\)
Dấu '=' xảy ra khi \(\left\{{}\begin{matrix}y+3=0\\2x+y=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}y=-3\\2x-3=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{3}{2}\\y=-3\end{matrix}\right.\)
a: \(A=\dfrac{x+1}{x\left(3-x\right)}:\left(\dfrac{3+x}{3-x}-\dfrac{3-x}{3+x}-\dfrac{12x^2}{x^2-9}\right)\)
\(=\dfrac{x+1}{x\left(3-x\right)}:\left(\dfrac{-\left(x+3\right)}{x-3}+\dfrac{x-3}{x+3}-\dfrac{12x^2}{\left(x-3\right)\left(x+3\right)}\right)\)
\(=\dfrac{x+1}{x\left(3-x\right)}:\dfrac{-x^2-6x-9+x^2-6x+9-12x^2}{\left(x-3\right)\left(x+3\right)}\)
\(=\dfrac{-\left(x+1\right)}{x\left(x-3\right)}\cdot\dfrac{\left(x-3\right)\left(x+3\right)}{-12x^2-12x}\)
\(=\dfrac{-\left(x+1\right)\cdot\left(x+3\right)}{-12x^2\left(x+1\right)}=\dfrac{x+3}{12x^2}\)
b: Ta có: |2x-1|=5
=>2x-1=5 hoặc 2x-1=-5
=>x=-2
Thay x=-2 vào A, ta được:
\(A=\dfrac{-2+3}{12\cdot\left(-2\right)^2}=\dfrac{1}{48}\)
c: Để \(A=\dfrac{2x+1}{x^2}\) thì \(\dfrac{x+3}{12x^2}=\dfrac{2x+1}{x^2}\)
=>x+3=24x+12
=>24x+12=x+3
=>23x=-9
hay x=-9/23
d: Để A<0 thì x+3<0
hay x<-3
\(\left|x+1\right|-4x=0\\ \Leftrightarrow\left|x+1\right|=4x\)
Ta có : \(\left\{{}\begin{matrix}x+1\ge0\Leftrightarrow x\ge-1\\x+1< 0\Leftrightarrow x< -1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x+1=4x\\\left(-x+1\right)=4x\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x-4x=-1\\-x-1=4x\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}-3x=-1\\-x-4x=1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\left(tm\right)\\x=-\dfrac{1}{5}\left(tm\right)\end{matrix}\right.\)
`@ Kidd`
Ta có: \(\dfrac{x+1}{2018}+\dfrac{x+1}{2019}+\dfrac{x+1}{2020}+\dfrac{x+1}{2021}=0\)
\(\Leftrightarrow x+1=0\)
hay x=-1
Ta có: \(\left(\dfrac{2}{3}x-\dfrac{4}{9}\right)\left(\dfrac{1}{2}-\dfrac{3}{7}x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{2}{3}x=\dfrac{4}{9}\\\dfrac{3}{7}x=\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=\dfrac{7}{6}\end{matrix}\right.\)
\(\Leftrightarrow164-4\left(x-5\right)=80\\ \Leftrightarrow4\left(x-5\right)=84\\ \Leftrightarrow x-5=21\Leftrightarrow x=26\)
`#3107.101107`
`|3x - 1| = x + 2`
`\Rightarrow` TH1: `3x - 1 = x + 2`
`\Rightarrow 3x - x = 2 + 1`
`\Rightarrow 2x = 3`
`\Rightarrow x =` $\dfrac{3}2$
TH2: `3x - 1 = -(x + 2)`
`\Rightarrow 3x - 1 = -x - 2`
`\Rightarrow 3x + x = -2 + 1`
`\Rightarrow 4x = -1`
`\Rightarrow x =` $\dfrac{-1}4$
Vậy, \(x\in\left\{-\dfrac{1}{4};\dfrac{3}{2}\right\}.\)
|3x - 1| = x + 2
*) TH1: x ≥ 1/3, ta có:
|3x - 1| = x + 2
3x + 1 = x + 2
3x - x = 2 - 1
2x = 1
x = 1/2 (nhận)
*) TH2: x < 1/3, ta có:
|3x - 1| = x + 1
1 - 3x = x + 1
-3x - x = 1 - 1
-4x = 0
x = 0 (nhận)
Vậy x = 0; x = 1/2
\(\dfrac{-2}{3}\left(x-\dfrac{1}{4}\right)=\dfrac{1}{3}\left(2x-1\right)\)
\(\Leftrightarrow\dfrac{-2}{3}x+\dfrac{1}{6}=\dfrac{2}{3}x-\dfrac{1}{3}\)
\(\Leftrightarrow\dfrac{-2}{3}x-\dfrac{2}{3}x=\dfrac{-1}{3}-\dfrac{1}{6}\)
\(\Leftrightarrow\dfrac{-4}{3}x=\dfrac{-1}{2}\)
\(\Leftrightarrow x=\dfrac{3}{8}\)
Vậy \(x=\dfrac{3}{8}\)
\(42-2\times x=0\)
\(2\times x=42\)
\(x=42:2\)
\(x=21\)
Theo mình x bằng 21
Ha ha tôi đã trở lai