hoangvnguyen03
20/12/2024
Quế Hoàng bạn nên viết gọn lại rõ ràng cho dễ nhìn nhé. khó nhìn quá chụp k nhìn nổi
20/12/2024
20/12/2024
Bài 2:
$\displaystyle \begin{array}{{>{\displaystyle}l}}
1) \ \frac{3}{5} -x=\frac{2}{7}\\
\Longrightarrow x=\frac{3}{5} -\frac{2}{7}\\
\Longrightarrow x=\frac{11}{35}\\
2) \ ( x-3)^{2} -\frac{1}{9} =0\\
\Longrightarrow ( x-3)^{2} =\frac{1}{9}\\
\Longrightarrow \left[ \begin{array}{l l}
x-3=\frac{1}{3} & \\
x-3=\frac{-1}{3} &
\end{array} \right. \Longrightarrow \left[ \begin{array}{l l}
x=\frac{10}{3} & \\
x=\frac{8}{3} &
\end{array} \right.\\
3) \ \left| x-\frac{3}{2}\right| -\frac{5}{4} =1\frac{1}{2}\\
\Longrightarrow \left| x-\frac{3}{2}\right| =\frac{5}{4} +\frac{3}{2}\\
\Longrightarrow \left| x-\frac{3}{2}\right| =\frac{11}{4}\\
\Longrightarrow \left[ \begin{array}{l l}
x-\frac{3}{2} =\frac{11}{4} & \\
x-\frac{3}{2} =-\frac{11}{4} &
\end{array} \right. \Longrightarrow \left[ \begin{array}{l l}
x=\frac{17}{4} & \\
x=\frac{-5}{4} &
\end{array} \right.\\
4) \ 0,75-\frac{1}{2} x=\frac{7}{3}\\
\Longrightarrow \frac{x}{2} =\frac{-19}{12}\\
\Longrightarrow x=\frac{-19}{6}\\
5) \ -1\frac{3}{4} -\frac{5}{4} :x=\frac{7}{2}\\
\Longrightarrow -\frac{7}{4} -\frac{5}{4} :x=\frac{7}{2}\\
\Longrightarrow \frac{5}{4} :x=-\frac{21}{4}\\
\Longrightarrow x=\frac{5}{4} :\frac{-21}{4} =\frac{-5}{21}\\
6) \ -2\frac{1}{3} +\frac{7}{2} :x=1\frac{1}{3}\\
\Longrightarrow \frac{-7}{3} +\frac{7}{2} :x=\frac{4}{3}\\
\Longrightarrow \frac{7}{2} :x=\frac{11}{3}\\
\Longrightarrow x=\frac{7}{2} :\frac{11}{3} =\frac{21}{22}\\
7) \ x+1\frac{1}{5} =\frac{7}{10}\\
\Longrightarrow x+\frac{6}{5} =\frac{7}{10}\\
\Longrightarrow x=\frac{-1}{2}\\
8) \ \left| x-\frac{2}{5}\right| +\frac{3}{4} =\frac{11}{4}\\
\Longrightarrow \left| x-\frac{2}{5}\right| =2\\
\Longrightarrow \left[ \begin{array}{l l}
x-\frac{2}{5} =2 & \\
x-\frac{2}{5} =-2 &
\end{array} \right. \Longrightarrow \left[ \begin{array}{l l}
x=\frac{12}{5} & \\
x=\frac{-8}{5} &
\end{array} \right.\\
9) \ 2x-\frac{3}{4} =\frac{1}{4}\\
\Longrightarrow 2x=1\\
\Longrightarrow x=\frac{1}{2}\\
10) \ \frac{|x-3|}{5} =\frac{1}{2}\\
\Longrightarrow |x-3|=\frac{5}{2}\\
\Longrightarrow \left[ \begin{array}{l l}
x-3=\frac{5}{2} & \\
x-3=-\frac{5}{2} &
\end{array} \right. \Longrightarrow \left[ \begin{array}{l l}
x=\frac{11}{2} & \\
x=\frac{1}{2} &
\end{array} \right.\\
11) \ \sqrt{\frac{16}{81}} +x=\frac{13}{9}\\
\Longrightarrow \frac{4}{9} +x=\frac{13}{9}\\
\Longrightarrow x=1\\
12) \ \left| x-\frac{2}{3}\right| =\frac{1}{2}\\
\Longrightarrow \left[ \begin{array}{l l}
x-\frac{2}{3} =\frac{1}{2} & \\
x-\frac{2}{3} =-\frac{1}{2} &
\end{array} \right. \Longrightarrow \left[ \begin{array}{l l}
x=\frac{7}{6} & \\
x=\frac{1}{6} &
\end{array} \right.\\
13) \ \frac{5}{7} +\frac{2}{7} :x=0,75\\
\Longrightarrow \frac{2}{7} :x=\frac{1}{28}\\
\Longrightarrow x=8
\end{array}$
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