a, | x - 0,5 | = 3,5
\(\Rightarrow x-0,5=\pm3,5\Rightarrow\left[{}\begin{matrix}x-0,5=3,5\\x-0,5=-3,5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=-3\end{matrix}\right.\)
b, | x - 0,3 | = 0
\(\Rightarrow x-0,3=0\Rightarrow x=0,3\)
c, \(\left|x-\dfrac{1}{2}\right|-\dfrac{1}{3}=0\)
\(\Rightarrow x-\dfrac{1}{2}=\pm\dfrac{1}{3}\Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{2}=\dfrac{1}{3}\\x-\dfrac{1}{2}=\dfrac{-1}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{6}\\x=\dfrac{1}{6}\end{matrix}\right.\)
d, | x - 1,2 | = 3,6
\(\Rightarrow x-1,2=\pm3,6\Rightarrow\left[{}\begin{matrix}x-1,2=3,6\\x-1,2=-3,6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4,8\\x=-2,4\end{matrix}\right.\)
e, \(\left|\dfrac{1}{3}-x\right|=\dfrac{2}{3}\)
\(\Rightarrow\dfrac{1}{3}-x=\pm\dfrac{2}{3}\Rightarrow\left[{}\begin{matrix}\dfrac{1}{3}-x=\dfrac{2}{3}\\\dfrac{1}{3}-x=\dfrac{-2}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{-1}{3}\\x=1\end{matrix}\right.\)
g, | 3x - 1 | - 5 = 2
\(\Rightarrow3x-1=\pm7\Rightarrow\left[{}\begin{matrix}3x-1=7\\3x-1=-7\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{8}{3}\\x=-2\end{matrix}\right.\)
1: =>x-0,5=3,5 hoặc x-0,5=-3,5
=>x=4 hoặc x=-3
2: =>x-0,3=0
hay x=0,3
3: =>|x+1/2|=1/3
=>x+1/2=1/3 hoặc x+1/2=-1/3
=>x=-1/6 hoặc x=-5/6
d: =>x-1,2=3,6 hoặc x-1,2=-3,6
=>x=4,8 hoặc x=-2,4
