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a) \(\dfrac{1}{2}-\left(x+\dfrac{1}{3}\right)=\dfrac{5}{6}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{1}{2}-\dfrac{5}{6}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{-1}{3}\)
\(\Rightarrow x=\dfrac{-1}{3}-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{-2}{3}\)
b)\(\dfrac{3}{4}-\left(x+\dfrac{1}{2}\right)=\dfrac{4}{5}\)
\(\Rightarrow x+\dfrac{1}{2}=\dfrac{3}{4}-\dfrac{4}{5}\)
\(\Rightarrow x+\dfrac{1}{2}=\dfrac{-1}{20}\)
\(\Rightarrow x=\dfrac{-1}{20}-\dfrac{1}{2}\)
\(\Rightarrow x=\dfrac{-11}{20}\)
c) \(\dfrac{3}{35}-\left(\dfrac{3}{5}+x\right)=\dfrac{2}{7}\)
\(\Rightarrow\dfrac{3}{5}+x=\dfrac{3}{35}-\dfrac{2}{7}\)
\(\Rightarrow\dfrac{3}{5}+x=\dfrac{-1}{5}\)
\(\Rightarrow x=\dfrac{-1}{5}-\dfrac{3}{5}\)
\(\Rightarrow x=\dfrac{-4}{5}\)
d)\(\dfrac{2}{3}.x=\dfrac{4}{27}\)
\(\Rightarrow x=\dfrac{4}{27}:\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{2}{9}\)
e) \(\dfrac{-3}{5}.x=\dfrac{21}{10}\)
\(\Rightarrow x=\dfrac{21}{10}:\dfrac{-3}{5}\)
\(\Rightarrow x=\dfrac{-7}{2}\)
1a)1+2+3+...+x=0
\(\frac{x.\left(x+1\right)}{2}\)=0
x.(x+1) =0:2
x.(x+1) =0
x.(x+1) =0.1
vây x=0
tich dung cho minh nha
a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)
\(\Rightarrow x=\dfrac{5}{6}-\dfrac{5}{4}\)
\(\Rightarrow x=\dfrac{-5}{12}\)
b) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\dfrac{-1}{3}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)
\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{2}{5}\)
c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)
\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-77}{120}\)
d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)
\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{-7}{20}\)
e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)
\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-59}{105}\)
g) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)
\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-13}{12}\)
a, \(\left(5x-10\right)\left(6x-\frac{1}{3}\right)=0\\ \Rightarrow\left[{}\begin{matrix}5x-10=0\\6x-\frac{1}{3}=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}5x=10\\6x=\frac{1}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2\\x=\frac{1}{18}\end{matrix}\right.\)
Vậy \(x\in\left\{2;\frac{1}{18}\right\}\)
b, \(\frac{-3}{4}-\left|\frac{4}{5}-x\right|=-10\\ \frac{-3}{4}+10=\left|\frac{4}{5}-x\right|\\ \left|\frac{4}{5}-x\right|=\frac{37}{4}\\ \Rightarrow\left[{}\begin{matrix}\frac{4}{5}-x=\frac{37}{4}\\\frac{4}{5}-x=\frac{-37}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{4}{5}-\frac{37}{4}\\x=\frac{4}{5}-\frac{-37}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{-169}{20}\\x=\frac{201}{20}\end{matrix}\right.\)
Vậy \(x\in\left\{\frac{-169}{20};\frac{201}{20}\right\}\)
c, \(\left|5+x\right|-\frac{-2}{3}=3\\ \left|5+x\right|=3+\frac{-2}{3}\\ \left|5+x\right|=\frac{7}{3}\\ \Rightarrow\left[{}\begin{matrix}5+x=\frac{7}{3}\\5+x=\frac{-7}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{7}{3}-5\\x=\frac{-7}{3}-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{-8}{3}\\x=\frac{-22}{3}\end{matrix}\right.\)
Vậy \(x\in\left\{\frac{-8}{3};\frac{-22}{3}\right\}\)
d, Xem lại đề nhé vì không xuất hiện x thì đẳng thức sai.