Question

\(\left|x-\dfrac{1}{2}\right|+\dfrac{3}{4}=\dfrac{9}{10}\)

Answer 1

\(\left|x-\dfrac{1}{2}\right|+\dfrac{3}{4}=\dfrac{9}{10}\)

=>\(\left|x-\dfrac{1}{2}\right|=\dfrac{9}{10}-\dfrac{3}{4}=\dfrac{3}{20}\)

=>\(\left[{}\begin{matrix}x-\dfrac{1}{2}=\dfrac{3}{20}\\x-\dfrac{1}{2}=-\dfrac{3}{20}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{20}+\dfrac{1}{2}=\dfrac{13}{20}\\x=-\dfrac{3}{20}+\dfrac{1}{2}=\dfrac{7}{20}\end{matrix}\right.\)