\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{1}{3}=\dfrac{11}{10}\\x+\dfrac{1}{3}=-\dfrac{11}{10}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{23}{30}\\x=-\dfrac{43}{30}\end{matrix}\right.\)
Vậy...
\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{1}{3}=\dfrac{11}{10}\\x+\dfrac{1}{3}=-\dfrac{11}{10}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{23}{30}\\x=-\dfrac{43}{30}\end{matrix}\right.\)
Vậy...
\(\dfrac{1}{5}+\dfrac{11}{10}:\sqrt{x}=\dfrac{3}{4}\)
B=\(\dfrac{1}{11}\)+\(\dfrac{1}{11^2}\)+\(\dfrac{1}{11^3}\)+...+\(\dfrac{1}{11^{99}}\)+\(\dfrac{1}{11^{100}}\)
so sanh B với \(\dfrac{1}{10}\)
MỌI NGƯỜI GIÚP EM VỚI
Bài 1: tìm x
a)\(\left|3x-5\right|=4\)
b)\(\dfrac{x+1}{10}+\dfrac{x+1}{11}+\dfrac{x+1}{12}=\dfrac{x+1}{13}+\dfrac{x+1}{14}\)
c)\(\dfrac{x+4}{2000}+\dfrac{x+3}{2001}=\dfrac{x+2}{2002}+\dfrac{x+1}{2003}\)
Bài 2: Tính
a)\(\dfrac{\dfrac{1}{9}-\dfrac{1}{7}-\dfrac{1}{11}}{\dfrac{4}{9}-\dfrac{4}{7}-\dfrac{4}{11}}+\dfrac{\dfrac{3}{5}-\dfrac{3}{25}-\dfrac{3}{125}-\dfrac{3}{625}}{\dfrac{4}{5}-\dfrac{4}{25}-\dfrac{4}{125}-\dfrac{4}{625}}\)
b)\(\dfrac{1}{100.99}-\dfrac{1}{99.98}-\dfrac{1}{98.97}-...-\dfrac{1}{3.2}-\dfrac{1}{2.1}\)
c)\(\dfrac{\left(\dfrac{3}{10}-\dfrac{4}{15}-\dfrac{7}{20}\right).\dfrac{5}{19}}{\left(\dfrac{1}{14}+\dfrac{1}{7}-\dfrac{-3}{35}\right).\dfrac{-4}{3}}\)
\(\dfrac{x+1}{10}\)+\(\dfrac{x+1}{11}\)+\(\dfrac{x+1}{12}\)=\(\dfrac{x+1}{13}\)+\(\dfrac{x+1}{14}\)
\(\dfrac{x+1}{10}+\dfrac{x+1}{11}+\dfrac{x+1}{12}=\dfrac{x+1}{13}+\dfrac{x+1}{14}\)
1. \(\dfrac{3}{11}+\left(\dfrac{-2}{3}+\dfrac{-3}{11}\right)\)
2. 2,5.(-3,4)+(-6,6).2,5
3. (-0,5)\(^{10}\).2\(^{10}\)- \(\dfrac{15^3}{3^3}\)
Bài 4: Tính
a) 0,(3) + \(\dfrac{10}{3}\) + 0,4(2) b) \(\dfrac{4}{9}\) + 1,2(31) - 0,(13)
c) 2,(4) x \(\dfrac{3}{11}\) d) -0,(3) + \(\dfrac{1}{3}\)
\(\dfrac{\dfrac{3}{8}-\dfrac{3}{10}+\dfrac{3}{11}+\dfrac{3}{12}}{-\dfrac{5}{8}+\dfrac{5}{10}-\dfrac{5}{11}-\dfrac{5}{12}}\)
Tính nhanh:
\(a,A=\dfrac{\dfrac{5}{4}+\dfrac{5}{5}+\dfrac{5}{7}-\dfrac{5}{11}}{\dfrac{10}{4}+\dfrac{10}{5}+\dfrac{10}{7}-\dfrac{10}{11}}\)\(b,B=\dfrac{2+\dfrac{6}{5}-\dfrac{6}{7}-\dfrac{6}{11}}{\dfrac{2}{3}+\dfrac{2}{5}-\dfrac{2}{7}-\dfrac{2}{11}}\)
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