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8 tháng 8 2020

1) \(x-\left|1\frac{1}{6}\right|=\frac{5}{21}\)

\(\Rightarrow x-\frac{5}{21}=\left|1\frac{1}{6}\right|\)

\(\Rightarrow x-\frac{5}{21}=\frac{7}{6}\)

\(\Rightarrow x=\frac{7}{6}+\frac{5}{21}=\frac{49}{42}+\frac{10}{42}=\frac{59}{42}\)

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

\(\Rightarrow x+\left|-1\frac{2}{3}\right|=\frac{3}{4}\)

\(\Rightarrow x-\frac{3}{4}=-\left|-1\frac{2}{3}\right|\)

\(\Rightarrow x-\frac{3}{4}=-1\frac{2}{3}\)

\(\Rightarrow x-\frac{3}{4}=-\frac{5}{3}\)

\(\Rightarrow x=-\frac{5}{3}+\frac{3}{4}=-\frac{11}{12}\)

3) \(\left|x-\frac{1}{3}\right|=\frac{5}{2}\)

\(\Rightarrow\left[{}\begin{matrix}x-\frac{1}{3}=\frac{5}{2}\\x-\frac{1}{3}=-\frac{5}{2}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\frac{5}{2}+\frac{1}{3}=\frac{17}{6}\\x=-\frac{5}{2}+\frac{1}{3}=-\frac{13}{6}\end{matrix}\right.\)

4) \(\left|x+\frac{2}{3}\right|=0\)

\(\Rightarrow x+\frac{2}{3}=0\)

\(\Rightarrow x=0-\frac{2}{3}=-\frac{2}{3}\)

5) \(\left|x+2\right|=\frac{1}{3}-\frac{1}{5}\)

\(\Rightarrow\left|x+2\right|=\frac{2}{15}\)

\(\Rightarrow\left[{}\begin{matrix}x+2=\frac{2}{15}\\x+2=-\frac{2}{15}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\frac{2}{15}-2=-\frac{28}{15}\\x=-\frac{2}{15}-2=-\frac{32}{15}\end{matrix}\right.\)

6) \(\left|x-4\right|=\frac{1}{5}-\left(\frac{1}{2}-\frac{5}{4}\right)\)

\(\Rightarrow\left|x-4\right|=\frac{19}{20}\)

\(\Rightarrow\left[{}\begin{matrix}x-4=\frac{19}{20}\\x-4=-\frac{19}{20}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\frac{19}{20}+4=\frac{99}{20}\\x=-\frac{19}{20}+4=\frac{61}{20}\end{matrix}\right.\)

7) \(\left|x-\frac{5}{4}\right|=-\frac{1}{3}\)

\(\left|x-\frac{5}{4}\right|\ge0\)

=> Không có giá trị x thỏa mãn với điều kiện trên

22 tháng 8 2019

1,\(\frac{2}{9}.\left(x-\frac{9}{4}\right)+\frac{1}{2}=\frac{3}{7}.\left(7-\frac{1}{6}\right)+\frac{1}{3}\)

  \(\frac{2}{9}.\left(x-\frac{9}{4}\right)+\frac{1}{2}=\frac{3}{7}.\frac{41}{6}+\frac{1}{3}\)

\(\frac{2}{9}.\left(x-\frac{9}{4}\right)+\frac{1}{2}=\frac{41}{14}+\frac{1}{3}\)

 \(\frac{2}{9}.\left(x-\frac{9}{4}\right)+\frac{1}{2}=\frac{137}{42}\)

\(\frac{2}{9}.\left(x-\frac{9}{4}\right)=\frac{137}{42}-\frac{1}{2}\)

\(\frac{2}{9}.\left(x-\frac{9}{4}\right)=\frac{58}{21}\)

 \(\left(x-\frac{9}{4}\right)=\frac{5}{2}:\frac{2}{9}\)

\(\left(x-\frac{9}{4}\right)=\frac{45}{4}\)

\(x=\frac{45}{4}+\frac{9}{4}\)

\(x=\frac{27}{2}\)

22 tháng 8 2019

Bước cưối 58/21 minh man viết nhầm nên sai 

2 tháng 4 2023

1+1=3 :)))