Tìm x biết:
a,0 : x =0
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\(a,\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x-5< 0\\x+2>0\end{matrix}\right.\\\left\{{}\begin{matrix}x-5>0\\x+2< 0\end{matrix}\right.\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x< 5\\x>-2\end{matrix}\right.\\\left\{{}\begin{matrix}x>5\\x< -2\end{matrix}\right.\end{matrix}\right.\Rightarrow-2< x< 5\\ \Rightarrow x\in\left\{-1;0;1;2;3;4\right\}\\ b,\Rightarrow5< x^2< 14\\ \Rightarrow x^2=9\Rightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)
a) |x| = 4
\(\left[ {_{x = - 4}^{x = 4}} \right.\)
Vậy \(x \in \{ 4; - 4\} \)
b) |x| = \(\sqrt 7 \)
\(\left[ {_{x = - \sqrt 7 }^{x = \sqrt 7 }} \right.\)
Vậy \(x \in \{ \sqrt 7 ; - \sqrt 7 \} \)
c) ) |x+5| = 0
x+5 = 0
x = -5
Vậy x = -5
d) \(\left| {x - \sqrt 2 } \right|\) = 0
x - \(\sqrt 2 \) = 0
x = \(\sqrt 2 \)
Vậy x =\(\sqrt 2 \)
a) (Tớ đọc đề không hiểu, không nhớ :v)
b) a. `2(x-5) = 0`
`x-5 = 0:2`
`x-5 = 0`
`x=0+5`
`x=5`
b) `12(x-35) = 0`
`x-35=0:12`
`x-35 =0`
`x=0+35`
`x=35`
c) `(x-10).(x-13) = 0`
`=> x-10=0`
`x-13=0`
`=> x=0+10`
`x=0+13`
`=>x=10`
`x=13`.
a) Tích 2 số bằng không khi 1 trong 2 số bằng 0
b) \(2\left(x-5\right)=0\)
\(\Rightarrow x-5=0\)
\(\Rightarrow x=5\)
\(12\left(x-35\right)=0\)
\(\Rightarrow x-35=0\)
\(\Rightarrow x=35\)
\(\left(x-10\right)\left(x-13\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-10=0\\x-13=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=10\\x=13\end{matrix}\right.\)
a) \(\left(x-17\right)\left(x+15\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=17\\x=-15\end{matrix}\right.\)
b) \(\left(6-x\right)\left(x-35\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=6\\x=35\end{matrix}\right.\)
a) \(x^2+3x-4=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x+4=0\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-4\end{matrix}\right.\)
b) \(x^2-2x-1=0\Leftrightarrow\left(x-1\right)^2=2\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=\sqrt{2}\\x-1=-\sqrt{2}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=1+\sqrt{2}\\x=1-\sqrt{2}\end{matrix}\right.\)
a: Ta có: \(x^2+3x-4=0\)
\(\Leftrightarrow\left(x+4\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-4\\x=1\end{matrix}\right.\)
a: \(8x\left(x-2017\right)-2x+4034=0\)
\(\Leftrightarrow\left(x-2017\right)\left(8x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2017\\x=\dfrac{1}{4}\end{matrix}\right.\)
a: \(\Leftrightarrow\left(x-3\right)\left(5x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{1}{5}\end{matrix}\right.\)
b: \(\Leftrightarrow x\left(x-1\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)
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