K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

17 tháng 10 2021

Ta có: \(\left(\dfrac{2}{3}x-\dfrac{4}{9}\right)\left(\dfrac{1}{2}-\dfrac{3}{7}x\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{2}{3}x=\dfrac{4}{9}\\\dfrac{3}{7}x=\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=\dfrac{7}{6}\end{matrix}\right.\)

11 tháng 10 2021

\(a,\Rightarrow\left|x+\dfrac{4}{9}\right|=\dfrac{3}{2}+\dfrac{1}{2}=2\\ \Rightarrow\left[{}\begin{matrix}x+\dfrac{4}{9}=2\\x+\dfrac{4}{9}=-2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{14}{9}\\x=-\dfrac{22}{9}\end{matrix}\right.\\ b,\Rightarrow\left\{{}\begin{matrix}x-\dfrac{4}{11}=0\\5+y=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{4}{11}\\y=-5\end{matrix}\right.\)

11 tháng 10 2021

a) \(\left|x+\dfrac{4}{9}\right|-\dfrac{1}{2}=\dfrac{3}{2}\)

\(\Rightarrow\left|x+\dfrac{4}{9}\right|=2\)

\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{4}{9}=2\\x+\dfrac{4}{9}=-2\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{14}{9}\\x=-\dfrac{22}{9}\end{matrix}\right.\)

b) \(\left|x-\dfrac{4}{11}\right|+\left|5+y\right|=0\)

\(\Rightarrow\left\{{}\begin{matrix}x-\dfrac{4}{11}=0\\5+y=0\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{4}{11}\\y=-5\end{matrix}\right.\)

23 tháng 8 2018

1) = \(\frac{3}{5}\)

2) =\(\frac{6}{7}\)

3)\(\frac{9}{13}\)

4)\(\frac{4}{13}\)

16 tháng 10 2021

\(a,2\dfrac{1}{3}.5\dfrac{4}{7}=\dfrac{7}{3}.\dfrac{39}{7}=13\)

\(b,\dfrac{-1}{2}+\dfrac{4}{9}+\dfrac{3}{2}+\dfrac{5}{9}=-1+1=0\)

\(c,0,75+\left(-1,25\right)=-1,50\)

\(d,\dfrac{2}{5}\cdot\dfrac{3}{8}-\dfrac{2}{5}\cdot\dfrac{6}{11}=\dfrac{2}{5}\cdot\left(\dfrac{3}{8}-\dfrac{6}{11}\right)=\dfrac{2}{5}.\dfrac{-15}{88}=\dfrac{-3}{44}\)

3 tháng 3 2020

bạn nào giúp mik vs

3 tháng 3 2020

\(\left(\frac{1}{3}-\frac{3}{2}x\right)^2=\frac{9}{4}\)

\(=>\left(\frac{1}{3}-\frac{3}{2}x\right)^2=\left(\frac{3}{2}\right)^2\)

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

\(=>\frac{3}{2}x=\frac{1}{3}-\frac{3}{2}=-\frac{7}{6}\)

\(=>x=-\frac{7}{6}:\frac{3}{2}=-\frac{7}{9}\)

23 tháng 8 2018

\(\frac{2}{5}-\frac{1}{2}\left(x+\frac{1}{3}\right)=\frac{7}{5}\)

\(\frac{1}{2}\left(x+\frac{1}{3}\right)=\frac{2}{5}-\frac{7}{5}\)

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

\(x+\frac{1}{3}=-1:\frac{1}{2}\)

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

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

\(x=-\frac{7}{3}\)

23 tháng 8 2018

\(\frac{2}{5}-\frac{1}{2}.\left(x+\frac{1}{3}\right)=\frac{7}{5}\)

\(\Rightarrow\frac{1}{2}.\left(x+\frac{1}{3}\right)=\frac{2}{5}-\frac{7}{5}\)

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

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

\(\Rightarrow x=-\frac{7}{3}\)

23 tháng 9 2021

\(a,\Leftrightarrow-\dfrac{1}{2}x=\dfrac{1}{4}\Leftrightarrow x=-\dfrac{1}{2}\\ b,\Leftrightarrow\dfrac{1}{6}:x=\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{5}{6}\Leftrightarrow x=\dfrac{1}{6}:\dfrac{5}{6}=\dfrac{1}{5}\\ c,\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{5}=3\\x+\dfrac{1}{5}=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{14}{5}\\x=-\dfrac{16}{5}\end{matrix}\right.\)

\(d,\Leftrightarrow\left(x+\dfrac{1}{2}\right)^2=\dfrac{22}{9}-\dfrac{7}{3}=\dfrac{1}{9}\\ \Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=\dfrac{1}{3}\\x+\dfrac{1}{2}=-\dfrac{1}{3}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{6}\\x=-\dfrac{5}{6}\end{matrix}\right.\\ e,\Leftrightarrow2\left|x\right|=2-\dfrac{1}{2}=\dfrac{3}{2}\\ \Leftrightarrow\left[{}\begin{matrix}2x=\dfrac{3}{2}\\2x=-\dfrac{3}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=-\dfrac{3}{4}\end{matrix}\right.\)

\(f,\Leftrightarrow\left|x+\dfrac{1}{2}\right|=1+\dfrac{1}{6}=\dfrac{7}{6}\\ \Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=\dfrac{7}{6}\\x+\dfrac{1}{2}=-\dfrac{7}{6}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=-\dfrac{5}{3}\end{matrix}\right.\)

e: ta có: \(2\left|x\right|+\dfrac{1}{2}=2\)

\(\Leftrightarrow2\left|x\right|=\dfrac{3}{2}\)

\(\Leftrightarrow\left|x\right|=\dfrac{3}{4}\)

hay \(x\in\left\{\dfrac{3}{4};-\dfrac{3}{4}\right\}\)

29 tháng 6 2019

\(a,\frac{1}{2}x+\frac{5}{2}=\frac{7}{2}x-\frac{3}{4}\)

\(\Leftrightarrow\frac{1}{2}x+\frac{5}{2}-\frac{7}{2}x=-\frac{3}{4}\)

\(\Leftrightarrow\frac{1}{2}x-\frac{7}{2}x+\frac{5}{2}=-\frac{3}{4}\)

\(\Leftrightarrow-3x+\frac{5}{2}=-\frac{3}{4}\)

\(\Leftrightarrow-3x=-\frac{13}{4}\)

\(\Leftrightarrow x=-\frac{13}{4}:(-3)=-\frac{13}{4}:\frac{-3}{1}=-\frac{13}{4}\cdot\frac{-1}{3}=\frac{13}{12}\)

29 tháng 6 2019

\(b,\frac{2}{3}x-\frac{2}{5}=\frac{1}{2}x-\frac{1}{3}\)

\(\Leftrightarrow\frac{2}{3}x-\frac{2}{5}-\frac{1}{2}x=-\frac{1}{3}\)

\(\Leftrightarrow\frac{2}{3}x-\frac{1}{2}x-\frac{2}{5}=-\frac{1}{3}\)

\(\Leftrightarrow\frac{1}{6}x-\frac{2}{5}=-\frac{1}{3}\)

\(\Leftrightarrow\frac{1}{6}x=\frac{1}{15}\)

\(\Leftrightarrow x=\frac{1}{15}:\frac{1}{6}=\frac{1}{15}\cdot6=\frac{6}{15}=\frac{2}{5}\)

\(c,\frac{1}{3}x+\frac{2}{5}(x+1)=0\)

\(\Leftrightarrow\frac{1}{3}x+\frac{2}{5}x+\frac{2}{5}=0\)

\(\Leftrightarrow\frac{11}{15}x=-\frac{2}{5}\)

\(\Leftrightarrow x=-\frac{6}{11}\)

d,e,f Tương tự