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1,
\(\frac{25}{12}+\left(\frac{-4}{12}\right)=\frac{7}{4}\)
\(\frac{-10}{8}+\frac{15}{4}=\frac{5}{2}\)
\(\frac{3}{8}+\frac{-14}{6}=\frac{-47}{24}\)
\(\frac{350}{150}+\left(\frac{-200}{360}\right)=\frac{16}{9}\)
\([\frac{5}{8}+\left(\frac{-3}{4}\right)]+\frac{15}{6}=\frac{-1}{8}+\frac{15}{6}=\frac{19}{8}\)
\(\frac{7}{3}+[\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)]=\frac{7}{3}+\left(\frac{-3}{2}\right)=\frac{5}{6}\)
\(\frac{x}{-\frac{3}{5}}=\frac{-10}{21}\)
\(\Leftrightarrow21x=-10\cdot\frac{-3}{5}\)
\(\Leftrightarrow21x=6\Leftrightarrow x=\frac{2}{7}\)
\(\frac{x}{\frac{41}{3}}=-25\)
\(\Leftrightarrow x=-25\cdot\frac{41}{3}=\frac{-1025}{3}\)
3.Đề sao thế nhỉ???
(\(x\) + \(\dfrac{1}{2}\))2 = \(\dfrac{1}{16}\)
\(\left[{}\begin{matrix}x+\dfrac{1}{2}=-\dfrac{1}{4}\\x+\dfrac{1}{2}=\dfrac{1}{4}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-\dfrac{1}{4}-\dfrac{1}{2}\\x=\dfrac{1}{4}-\dfrac{1}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-\dfrac{3}{4}\\x=-\dfrac{1}{4}\end{matrix}\right.\)
Vậy \(x\) \(\in\) {- \(\dfrac{3}{4};-\dfrac{1}{4}\)}
\(x\) : (- \(\dfrac{1}{3}\))3 = - \(\dfrac{1}{3}\)
\(x\) = (-\(\dfrac{1}{3}\)).(-\(\dfrac{1}{3}\))3
\(x\) = \(\dfrac{1}{81}\)
Vậy \(x=\dfrac{1}{81}\)
\(\left(\dfrac{2}{3}x-\dfrac{1}{3}\right)^5=\dfrac{1}{243}\)
\(\)\(\left(\dfrac{2}{3}x-\dfrac{1}{3}\right)^5=\left(\dfrac{1}{3}\right)^5\)
⇒\(\left[{}\begin{matrix}\dfrac{2}{3}x-\dfrac{1}{3}=\dfrac{1}{3}\\\dfrac{2}{3}x-\dfrac{1}{3}=-\dfrac{1}{3}\end{matrix}\right.\)
⇒\(\left[{}\begin{matrix}\dfrac{2}{3}x=\dfrac{2}{3}\\\dfrac{2}{3}x=0\end{matrix}\right.\)
⇒\(\left[{}\begin{matrix}x=1\\x=0\end{matrix}\right.\)
1/\(\frac{\left(x+1\right)^2}{8}=\frac{8}{\left(x+1\right)^2}\)
=>\(\left(x+1\right)^4=8^2=64\)
=>\(x+1\in\left\{4;-4\right\}\)
=>\(x\in\left\{3;-5\right\}\)
2/ \(x+\frac{3}{4}=\frac{2}{5}\)
=>\(x=\frac{3}{4}-\frac{2}{5}=\frac{7}{20}\)
\(\frac{2}{3}-\frac{1}{3}.\frac{x-3}{2}-\frac{1}{2}.2.x+1=5\)
\(\Leftrightarrow\frac{2}{3}-\frac{x-3}{3.2}-\frac{2.x}{2}+1=5\)
\(\Leftrightarrow\frac{2}{3}-\frac{x-3}{6}-x+1=5\)
\(\Leftrightarrow\frac{2}{3}-\frac{x-3}{6}-x=4\)
\(\Leftrightarrow\frac{4}{6}-\frac{x-3}{6}-\frac{6x}{6}=4\)
\(\Leftrightarrow\frac{4-\left(x-3\right)-6x}{6}=4\)
\(\Leftrightarrow\frac{4-x+3+6x}{6}=4\)
\(\Leftrightarrow\frac{4+3-x+6x}{6}=\frac{4}{1}\)
\(\Leftrightarrow\frac{7+5x}{6}=\frac{4}{1}\)
\(\Leftrightarrow7+5x=4.6\)
\(\Leftrightarrow7+5x=24\)
\(\Leftrightarrow5x=24-7\)
\(\Leftrightarrow5x=17\)
\(\Leftrightarrow x=\frac{17}{5}\)
Vậy \(x=\frac{17}{5}\)
Chúc bạn học tốt
\(3\left(x-\frac{1}{2}\right)-5\left(x+\frac{3}{5}\right)=-x+\frac{1}{5}\)
\(\Rightarrow3x-\frac{3}{2}-5x-3=-x+\frac{1}{5}\)
\(\Rightarrow3x-5x+x=\frac{1}{5}+\frac{3}{2}+3\)
\(\Rightarrow-x=\frac{17}{10}+3\)
\(\Rightarrow-x=\frac{47}{10}\)
\(\Rightarrow x=-\frac{47}{10}\)
\(x-\dfrac{1}{2}=\dfrac{-3}{5}\)
\(x=\dfrac{-3}{5}+\dfrac{1}{2}\)
\(x=\dfrac{-6}{10}+\dfrac{5}{10}\)
\(x=\dfrac{-1}{10}\)
Vậy \(x=\dfrac{-1}{10}\)
`#3107.101107`
\(\dfrac{x-1}{2}=-\dfrac{3}{5}\\ \Rightarrow x-1=-\dfrac{3}{5}\cdot2\\ \Rightarrow x-1=-\dfrac{6}{5}\\ \Rightarrow x=-\dfrac{6}{5}+1\\ \Rightarrow x=-\dfrac{1}{5}\)
Vậy, \(x=-\dfrac{1}{5}.\)