\(\frac{1}{2}+\frac{1}{3}\)):2 Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời. Bài 2: b: x+25%x=-1,25 =>1,25x=-1,25 hay x=-1 c: x-75%x=1/4 =>1/4x=1/4 hay x=1 Bài 2: a: =3/2-11/4=6/4-11/4=-5/4 b: =-49/6-17/2=-49/6-51/6=-100/6=-50/3 a) 11 1/4- 2 5/7 - 5 1/4 11 1/4 - 5 1/4 - 2 5/7 ( 11 -5) + ( 1/4 -1/4) -2 5/7 6 +0 -2 5/7 6- 2 5/7 5+1 - 2 5/7 ( 5-2) + ( 1-5/7) 3+( 7/7 -5/7) 3 + 2/7 3 2/7 3+ \(a,\frac{1}{2}+\frac{2}{3}x=\frac{4}{5}\) => \(\frac{2}{3}x=\frac{4}{5}-\frac{1}{2}=\frac{3}{10}\) => \(x=\frac{3}{10}:\frac{2}{3}=\frac{9}{20}\) Vậy \(x\in\left\{\frac{9}{20}\right\}\) \(b,x+\frac{1}{4}=\frac{4}{3}\) => \(x=\frac{4}{3}-\frac{1}{4}=\frac{13}{12}\) Vậy \(x\in\left\{\frac{13}{12}\right\}\) \(c,\frac{3}{5}x-\frac{1}{2}=-\frac{1}{7}\) => \(\frac{3}{5}x=-\frac{1}{7}+\frac{1}{2}=\frac{5}{14}\) => \(x=\frac{5}{14}:\frac{3}{5}=\frac{25}{42}\) Vậy \(x\in\left\{\frac{25}{42}\right\}\) \(d,\left|x+5\right|-6=9\) => \(\left|x+5\right|=9+6=15\) => \(\left[{}\begin{matrix}x+5=15\\x+5=-15\end{matrix}\right.\) => \(\left[{}\begin{matrix}x=15-5=10\\x=-15-5=-20\end{matrix}\right.\) Vậy \(x\in\left\{10;-20\right\}\) \(e,\left|x-\frac{4}{5}\right|=\frac{3}{4}\) => \(\left[{}\begin{matrix}x-\frac{4}{5}=\frac{3}{4}\\x-\frac{4}{5}=-\frac{3}{4}\end{matrix}\right.\) => \(\left[{}\begin{matrix}x=\frac{3}{4}+\frac{4}{5}=\frac{31}{20}\\x=-\frac{3}{4}+\frac{4}{5}=\frac{1}{20}\end{matrix}\right.\) Vậy \(x\in\left\{\frac{31}{20};\frac{1}{20}\right\}\) \(f,\frac{1}{2}-\left|x\right|=\frac{1}{3}\) => \(\left|x\right|=\frac{1}{2}-\frac{1}{3}\) => \(\left|x\right|=\frac{1}{6}\) => \(\left[{}\begin{matrix}x=\frac{1}{6}\\x=-\frac{1}{6}\end{matrix}\right.\) Vậy \(x\in\left\{\frac{1}{6};-\frac{1}{6}\right\}\) \(g,x^2=16\) => \(\left|x\right|=\sqrt{16}=4\) => \(\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\) vậy \(x\in\left\{4;-4\right\}\) \(h,\left(x-\frac{1}{2}\right)^3=\frac{1}{27}\) => \(x-\frac{1}{2}=\sqrt[3]{\frac{1}{27}}=\frac{1}{3}\) => \(x=\frac{1}{3}+\frac{1}{2}=\frac{5}{6}\) Vậy \(x\in\left\{\frac{5}{6}\right\}\) \(i,3^3.x=3^6\) \(x=3^6:3^3=3^3=27\) Vậy \(x\in\left\{27\right\}\) \(J,\frac{1,35}{0,2}=\frac{1,25}{x}\) => \(x=\frac{1,25.0,2}{1,35}=\frac{5}{27}\) Vậy \(x\in\left\{\frac{5}{27}\right\}\) \(k,1\frac{2}{3}:x=6:0,3\) => \(\frac{5}{3}:x=20\) => \(x=\frac{5}{3}:20=\frac{1}{12}\) Vậy \(x\in\left\{\frac{1}{12}\right\}\) a,\(\frac{1}{x-1}+\frac{-2}{3}.\left(\frac{3}{4}-\frac{6}{5}\right)=\frac{5}{2-2x}\) \(\Rightarrow\frac{1}{x-1}+\frac{-2}{3}.\left(\frac{3}{4}-\frac{6}{5}\right)=\frac{5}{2-2x};Đkxđ:x\ne1\) \(\Rightarrow\frac{1}{x-1}+\frac{-2}{3}\left(\frac{-9}{20}\right)=\frac{5}{2-2x}\) \(\Rightarrow\frac{1}{x-1}+\frac{3}{10}=\frac{5}{2-2x}\) \(\Rightarrow\frac{1}{x-1}-\frac{5}{2-2x}=\frac{-3}{10}\) \(\Rightarrow\frac{1}{x-1}-\frac{5}{-2\left(x-1\right)}=\frac{-3}{10}\) \(\Rightarrow\frac{1}{x-1}+\frac{5}{2\left(x-1\right)}=\frac{3}{10}\) \(\Rightarrow\frac{7}{2\left(x-1\right)}=\frac{-3}{10}\) \(\Rightarrow70=-6\left(x-1\right)\) \(\Rightarrow6x=6-70\) \(\Rightarrow6x=-64\) \(\Rightarrow x=\frac{-32}{3}x\ne1\) Bài 1 : \(a,\left|x-3,5\right|=7,5\) \(\Rightarrow\orbr{\begin{cases}x-3,5=7,5\\x-3,5=-7,5\end{cases}}\Rightarrow\orbr{\begin{cases}x=11\\x=-4\end{cases}}\) \(b,\left|x+\frac{3}{4}\right|-\frac{1}{2}=0\) \(\Rightarrow\left|x+\frac{3}{4}\right|=\frac{1}{2}\) \(\Rightarrow\orbr{\begin{cases}x+\frac{3}{4}=\frac{1}{2}\\x+\frac{3}{4}=-\frac{1}{2}\end{cases}}\Rightarrow\orbr{\begin{cases}x=-\frac{1}{4}\\x=-\frac{5}{4}\end{cases}}\) \(c,3,6-\left|x-0,4\right|=0\) \(\Rightarrow\left|x-0,4\right|=3,6\) \(\Rightarrow\orbr{\begin{cases}x-0,4=3,6\\x-0,4=-3,6\end{cases}}\Rightarrow\orbr{\begin{cases}x=4\\x=-3,2\end{cases}}\) \(d,\left|x-\frac{1}{2}\right|-\frac{1}{3}=1\) \(\Rightarrow\left|x-\frac{1}{2}\right|=\frac{4}{3}\) \(\Rightarrow\orbr{\begin{cases}x-\frac{1}{2}=\frac{4}{3}\\x-\frac{1}{2}=-\frac{4}{3}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{11}{6}\\x=-\frac{5}{6}\end{cases}}\) Đăt A = \(\frac{1}{7}+\frac{1}{7^2}+\frac{1}{7^3}+......+\frac{1}{7^{100}}\) \(\Rightarrow7A=1+\frac{1}{7}+\frac{1}{7^2}+.....+\frac{1}{7^{100}}\) \(\Rightarrow7A-A=1-\frac{1}{7^{100}}\) \(\Rightarrow6A=1-\frac{1}{7^{100}}\) \(\Rightarrow A=\frac{1-\frac{1}{7^{100}}}{6}\)
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