Bài 2:
a: \(\dfrac{13}{36}-\dfrac{5}{18}x=-\dfrac{11}{9}\)
=>\(\dfrac{5}{18}x=\dfrac{13}{36}+\dfrac{11}{9}=\dfrac{13}{36}+\dfrac{44}{36}=\dfrac{57}{36}=\dfrac{19}{12}\)
=>\(x=\dfrac{19}{12}:\dfrac{5}{18}=\dfrac{19}{12}\cdot\dfrac{18}{5}=\dfrac{19\cdot3}{2\cdot5}=\dfrac{57}{10}\)
b: \(\left|3x-2\right|-\sqrt{25}=-2\)
=>\(\left|3x-2\right|=-2+5=3\)
=>\(\left[{}\begin{matrix}3x-2=3\\3x-2=-3\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}3x=3+2=5\\3x=-3+2=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=-\dfrac{1}{3}\end{matrix}\right.\)
c: \(16\left(x-\dfrac{3}{4}\right)^2=\sqrt{9}+\left|-3-19\right|\)
=>\(16\left(x-\dfrac{3}{4}\right)^2=3+\left|-22\right|=25\)
=>\(\left(x-\dfrac{3}{4}\right)^2=\dfrac{25}{16}\)
=>\(\left[{}\begin{matrix}x-\dfrac{3}{4}=\dfrac{5}{4}\\x-\dfrac{3}{4}=-\dfrac{5}{4}\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=\dfrac{5}{4}+\dfrac{3}{4}=\dfrac{8}{4}=2\\x=-\dfrac{5}{4}+\dfrac{3}{4}=-\dfrac{2}{4}=-\dfrac{1}{2}\end{matrix}\right.\)
d: \(\left|2x-\dfrac{1}{2}\right|=\left|x+\dfrac{3}{4}\right|\)
=>\(\left[{}\begin{matrix}2x-\dfrac{1}{2}=x+\dfrac{3}{4}\\2x-\dfrac{1}{2}=-x-\dfrac{3}{4}\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}2x-x=\dfrac{3}{4}+\dfrac{1}{2}\\2x+x=-\dfrac{3}{4}+\dfrac{1}{2}\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=\dfrac{3}{4}+\dfrac{2}{4}=\dfrac{5}{4}\\3x=-\dfrac{3}{4}+\dfrac{2}{4}=-\dfrac{1}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{4}\\x=-\dfrac{1}{12}\end{matrix}\right.\)