a) \(\left|\dfrac{1}{2}-2x\right|=\dfrac{7}{2}\)
\(\left|2x\right|=\dfrac{1}{2}-\dfrac{7}{2}\)
\(\left|2x\right|=-3\)
\(\Rightarrow\left[{}\begin{matrix}\left|2x\right|=-3\\\left|2x\right|=3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{-3}{2}\\x=\dfrac{3}{3}\end{matrix}\right.\)
b) \(\dfrac{x}{3}=\dfrac{7}{12}+\dfrac{-1}{4}\)
\(\dfrac{x}{3}=\dfrac{1}{3}\)
\(\Rightarrow x=1\)
a, \(\left|\dfrac{1}{2}-2x\right|=\dfrac{7}{2}\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{1}{2}-2x=\dfrac{7}{2}\\\dfrac{1}{2}-2x=\dfrac{-7}{2}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=-3\\2x=4\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{-3}{2}\\x=2\end{matrix}\right.\)
b, \(\dfrac{x}{3}=\dfrac{7}{12}+-\dfrac{1}{4}\)
\(\dfrac{x}{3}=\dfrac{1}{3}\)
=> x = 1
a,|1/2-2x|=7/2
1/2-2x=7/2 hoac 1/2-2x=-7/2
TH1 : 1/2-2x = 7/2
2x = 1/2 - 7/2
2x = -3
x = -3 : 2
x = -3/2
TH2: 1/2 - 2x = -7/2
2x = 1/2 - (-7/2)
2x = 1/2+7/2
2x = 4
x = 4 : 2
x = 2
Vay x = -3/2 hoac x = 2
b, x/3 = 7/12 + -1/4
x/3 = 7/12 + -3/12
x/3 = 1/3
suy ra x = 1
Vay x = 1