\(a,\Rightarrow x-1=\dfrac{1}{9}\Rightarrow x=\dfrac{10}{9}\\ b,\Rightarrow x-1,56=1,44\Rightarrow x=3\\ c,\Rightarrow1-\dfrac{2}{3}x=\dfrac{4}{9}\Rightarrow\dfrac{2}{3}x=\dfrac{5}{9}\Rightarrow x=\dfrac{5}{6}\\ d,\Rightarrow\left|x-4\right|=\dfrac{1}{2}\Rightarrow\left[{}\begin{matrix}x-4=\dfrac{1}{2}\\4-x=\dfrac{1}{2}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{9}{2}\\x=\dfrac{7}{2}\end{matrix}\right.\\ e,\Rightarrow\left|5x+1\right|=\dfrac{6}{7}\Rightarrow\left[{}\begin{matrix}5x+1=\dfrac{6}{7}\\5x+1=-\dfrac{6}{7}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}5x=-\dfrac{1}{7}\\5x=-\dfrac{13}{7}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-\dfrac{1}{35}\\x=-\dfrac{13}{35}\end{matrix}\right.\)
a) ĐKXĐ: \(x\ge1\)
\(pt\Leftrightarrow x-1=\dfrac{1}{9}\Leftrightarrow x=\dfrac{10}{9}\left(tm\right)\)
b) ĐKXĐ: \(x\ge1,56\)
\(pt\Leftrightarrow x-1,56=1,44\Leftrightarrow x=3\left(tm\right)\)
c) ĐKXĐ: \(x\le\dfrac{3}{2}\)
\(pt\Leftrightarrow1-\dfrac{2}{3}x=\dfrac{4}{9}\Leftrightarrow\dfrac{2}{3}x=\dfrac{5}{9}\Leftrightarrow x=\dfrac{5}{6}\left(tm\right)\)
d) \(pt\Leftrightarrow\left|x-4\right|=\dfrac{1}{2}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-4=\dfrac{1}{2}\\x-4=-\dfrac{1}{2}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{9}{2}\\x=\dfrac{7}{2}\end{matrix}\right.\)
e) \(pt\Leftrightarrow\left|5x+1\right|=\dfrac{6}{7}\)
\(\Leftrightarrow\left[{}\begin{matrix}5x+1=\dfrac{6}{7}\\5x+1=-\dfrac{6}{7}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{35}\\x=-\dfrac{13}{35}\end{matrix}\right.\)
