Tìm x, biết: |x+8| = 10
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\(a,\left(x+2\right)^{10}+\left(x+2\right)^8=0\\ \Leftrightarrow\left(x+2\right)^8\left[\left(x+2\right)^2+1\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}\left(x+2\right)^8=0\\\left(x+2\right)^2+1=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x+2=0\\\left(x+2\right)^2=-1\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-2\\x\in\varnothing\end{matrix}\right.\\ b,\left(x+3\right)^{10}-\left(x+3\right)^8=0\\ \Leftrightarrow\left(x+3\right)^8\left[\left(x+3\right)^2-1\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}\left(x+3\right)^8=0\\\left(x+3\right)^2-1=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x+3=0\\\left(x+3\right)^2=1\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-3\\x+3=1\\x+3=-1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-2\\x=-4\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{x+8}{12}+\dfrac{x+9}{11}+\dfrac{x+10}{10}+3=0\\ \Leftrightarrow\dfrac{x+8}{12}+1+\dfrac{x+9}{11}+1+\dfrac{x+10}{10}+1=0\\ \Leftrightarrow\dfrac{x+20}{12}+\dfrac{x+20}{11}+\dfrac{x+20}{10}=0\\ \Leftrightarrow\left(x+20\right)\left(\dfrac{1}{12}+\dfrac{1}{11}+\dfrac{1}{10}\right)=0\\ \Leftrightarrow x+20=0\Leftrightarrow x=-20\\ KL:...\)
`<=>((x+8)/12+1)+((x+9)/11+1)+((x+10)/10+1)=0`
`<=>(x+20)/12+(x+20)/11+(x+20)/10=0`
`<=>(x+20)(1/12+1/11+1/10)=0`
Vì `1/12+1/11+1/10 ≠ 0`
`=>x+20=0`
`=>x=0-20`
`=>x=-20`
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
|x+8|=10
Vì đây là giá trị tuyệt đối suy ra:
x+8=10;x=10-8=2
x+8=-10;x=-10-8=-18
Vậy x=2;-18
| x + 8 | = 10
\(\Rightarrow\)x+8=10
x =10-8
x = 2
hoặc x+8=10
x = - 10 - 8
x = - (10+8)
x = -18
Vậy x \(\in\) { 2; -18 }
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{x}{-8}=\dfrac{-15}{10}\\ \Rightarrow10x=\left(-8\right)\left(-15\right)=120\\ \Rightarrow x=12\)
Vậy x = 12
![](https://rs.olm.vn/images/avt/0.png?1311)
` (3/4 +x) xx 50/100 = 8/10`
`( 3/4 + x) xx 1/2 = 4/5`
` 3/4 + x = 4/5 : 1/2`
` 3/4 + x = 4/5 xx2`
` 3/4 + x = 8/5`
` x = 8/5 - 3/4`
` x = 17/20`
Ta có : | x + 8 | = 10
=> x+8 = 10 hoặc x+8 = -10
Với x+8 =10 => x= 10-8 =2
Với x+8 =-10 => x= -10 -8 =-18
Vậy x =2 hoặc x = -18
Các bạn hãy k cho mình nhé!!!
\(\Leftrightarrow\) x+8=10
x+8=-10
\(\Leftrightarrow\)x=10-8
x=-10-8
\(\Leftrightarrow\)x=2
x=-18