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a)(x - 2).(x^2 +1)=0
\(\Rightarrow\orbr{\begin{cases}x-2=0\\x^2+1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x^2=-1\end{cases}\Rightarrow\orbr{\begin{cases}x=2\\\text{vô lí}\end{cases}}}\)
vậy x=2
b)(x^3+8).(2x^2-8)=0
\(\Rightarrow\orbr{\begin{cases}x^3+8=0\\2x^2-8=0\end{cases}\Rightarrow\orbr{\begin{cases}x^3=-8\\2x^2=8\end{cases}\Rightarrow}\orbr{\begin{cases}x=-2\\x^2=4\end{cases}\Rightarrow}\orbr{\begin{cases}x=-2\\x=\pm2\end{cases}}}\)
vậy \(x\in\left\{\pm2\right\}\)
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a, x : 17 = 0
x = 0 x 17
x = 0
b, 7x - 8 = 713
7x = 713 + 8
7x = 721
x = 721 : 7
x = 103
c, 8 (x - 3) = 0
x - 3 = 0 : 8
x - 3 = 0
x = 0 + 3
x = 3
d, 0 chia bết cứ số nào đều bằng 0 (ngoại trừ 0)
Vậy x \(\in\)N*
a) x : 17 = 0 c) 8 ( x - 3 ) = 0 d) 0 : x = 0
x = 0 x 17 x - 3 = 0 : 8 x = 0 : 0
x = 0 x - 3 = 0 x = 0
b ) 7x - 8 = 0 x = 0 + 3
7x = 0 + 8 x = 3
7x = 8
x = 8 : 7
x = 1,142...
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\(a,x-\dfrac{7}{12}x=\dfrac{5}{24}-\dfrac{3}{8}x\)
\(\Leftrightarrow\dfrac{5}{12}x+\dfrac{3}{8}x=\dfrac{5}{24}\)
\(\Leftrightarrow\dfrac{19}{24}x=\dfrac{5}{24}\Leftrightarrow x=\dfrac{5}{19}\)
Vậy x = 5/19
\(b,\left(x-\dfrac{1}{2}\right)\left(-3-\dfrac{x}{2}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{1}{2}=0\\-3-\dfrac{x}{2}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-6\end{matrix}\right.\)
Vậy x = 1/2 hoặc x = -6
\(c,\dfrac{x-3}{-2}=\dfrac{-8}{x-3}\)
\(\Leftrightarrow\left(x-3\right)^2=16\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=4\\x-3=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=7\\x=-1\end{matrix}\right.\)
Vậy x = 7 hoặc x = -1
![](https://rs.olm.vn/images/avt/0.png?1311)
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\(a,\left(-31\right).\left(x+7\right)=0\\ \Rightarrow x+7=0\\ \Rightarrow x=-7\\ b,\left(8-x\right).\left(x+13\right)=0\\ \Rightarrow\left[{}\begin{matrix}8-x=0\\x+13=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=8\\x=-13\end{matrix}\right.\\ c,\left(x^2-25\right)\left(3-x\right)=0\\ \Rightarrow\left(x-5\right)\left(x+5\right)\left(3-x\right)=0\\\Rightarrow \left[{}\begin{matrix}x-5=0\\x+5=0\\3-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=-5\\x=3\end{matrix}\right.\\ d,\left(x-3\right)\left(x^2+4\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-3=0\\x^2+4=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=3\\x^2=-4\left(loại\right)\end{matrix}\right.\\ \Rightarrow x=3\)
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\(3^x+3^{x+1}=3^8.2+2.3^8.2017^0\)
\(3^x+3^x.3=3^8.2^2\)
\(3^x=3^8.2^2:3\)
\(3^x=3^7.2^2\)
3x+3x+1=38.2+2.38.201703x+3x+1=38.2+2.38.20170
3x+3x.3=38.223x+3x.3=38.22
3x=38.22:33x=38.22:3
3x=37.223x=37.22
`8.(3-x)=0`
`3-x=0:8`
`3-x=0`
`x=3-0`
`x=3`
\(8.\left(3-x\right)=0\)
\(3-x=0:8\)
\(3-x=0\)
\(x=3-0\)
\(x=3\)
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