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\(3\left(x-\frac{1}{2}\right)-5\left(x+\frac{3}{5}\right)=-x+\frac{1}{5}\)
\(\Rightarrow3x-\frac{3}{2}-5x-3=-x+\frac{1}{5}\)
\(\Rightarrow3x-5x+x=\frac{1}{5}+\frac{3}{2}+3\)
\(\Rightarrow-x=\frac{17}{10}+3\)
\(\Rightarrow-x=\frac{47}{10}\)
\(\Rightarrow x=-\frac{47}{10}\)
1,
\(\frac{25}{12}+\left(\frac{-4}{12}\right)=\frac{7}{4}\)
\(\frac{-10}{8}+\frac{15}{4}=\frac{5}{2}\)
\(\frac{3}{8}+\frac{-14}{6}=\frac{-47}{24}\)
\(\frac{350}{150}+\left(\frac{-200}{360}\right)=\frac{16}{9}\)
\([\frac{5}{8}+\left(\frac{-3}{4}\right)]+\frac{15}{6}=\frac{-1}{8}+\frac{15}{6}=\frac{19}{8}\)
\(\frac{7}{3}+[\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)]=\frac{7}{3}+\left(\frac{-3}{2}\right)=\frac{5}{6}\)
(\(x\) + \(\dfrac{1}{2}\))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 \(x=\dfrac{1}{81}\)
x+\(\frac{1}{3}\)=\(\frac{2}{5}\)- (\(\frac{-1}{3}\))
x + \(\frac{1}{3}\)= \(\frac{2}{5}\)+\(\frac{1}{3}\)
x +1/3 =11/15
x= 11/15 -1/3
x= 2/5
b, 5/7-x=1/4 -(-3/5)
5/7 - x = 1/4 +3/5
5/7 - x =17/20
x = 5/7 -17/ 20
x= -19/140
\(a,\frac{8^{12}.5^{21}}{2^{17}.10^{19}}=\frac{\left(2^3\right)^{12}.5^{21}}{2^{17}.2^{19}.5^{19}}=\frac{2^{36}.5^{21}}{2^{36}.5^{19}}=25\)
\(b,\left(x-5\right).\left(x+\frac{1}{2}\right)=0\)
\(\Rightarrow x-5=0\)hoặc \(x+\frac{1}{2}=0\)
\(x=5\)hoặc \(x=-\frac{1}{2}\)
\(c,\left|x-6\right|-\frac{1}{2}=\frac{3}{2}\)
\(\left|x-6\right|=2\)
\(\Rightarrow x-6=2\)hoặc \(x-6=-2\)
\(x=8\)hoặc \(x=4\)
\(\frac{2}{3}-\frac{1}{3}.\frac{x-3}{2}-\frac{1}{2}.2.x+1=5\)
\(\Leftrightarrow\frac{2}{3}-\frac{x-3}{3.2}-\frac{2.x}{2}+1=5\)
\(\Leftrightarrow\frac{2}{3}-\frac{x-3}{6}-x+1=5\)
\(\Leftrightarrow\frac{2}{3}-\frac{x-3}{6}-x=4\)
\(\Leftrightarrow\frac{4}{6}-\frac{x-3}{6}-\frac{6x}{6}=4\)
\(\Leftrightarrow\frac{4-\left(x-3\right)-6x}{6}=4\)
\(\Leftrightarrow\frac{4-x+3+6x}{6}=4\)
\(\Leftrightarrow\frac{4+3-x+6x}{6}=\frac{4}{1}\)
\(\Leftrightarrow\frac{7+5x}{6}=\frac{4}{1}\)
\(\Leftrightarrow7+5x=4.6\)
\(\Leftrightarrow7+5x=24\)
\(\Leftrightarrow5x=24-7\)
\(\Leftrightarrow5x=17\)
\(\Leftrightarrow x=\frac{17}{5}\)
Vậy \(x=\frac{17}{5}\)
Chúc bạn học tốt
\(|\frac{2}{5}-x|-5= -1\)
\(|\frac{2}{5}-x| = -1 + 5 \)
\(|\frac{2}{5}-x| = 4\)
Ta có 2 trường hợp :
\(\frac{2}{5}-x = -4\)
\(x=\frac{2}{5}-(-4) \)
\(x=\frac{22}{5}\)
Trường hợp 2 :
\(\frac{2}{5} -x= 4\)
\(x =\frac{2}{5} - 4\)
\(x=-\frac{18}{5}\)
Vậy : \(x=\frac{22}{5}\) hoặc \(-\frac{18}{5}\)