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a) \(2.\left(x+\frac{2}{5}\right)+1\frac{1}{4}=\frac{11}{20}\)
\(2.\left(x+\frac{2}{5}\right)+\frac{5}{4}=\frac{11}{20}\)
\(2.\left(x+\frac{2}{5}\right)=\frac{-7}{10}\)
\(x+\frac{2}{5}=\frac{-7}{20}\)
\(x=\frac{-13}{20}\)
Vậy \(x=\frac{-13}{20}\)
b)\(x-1\frac{1}{8}-\frac{2}{3}x-\frac{5}{6}x=75\%\)
\(\left(x-\frac{2}{3}x-\frac{5}{6}x\right)-\frac{9}{8}=\frac{3}{4}\)
\(\frac{-1}{2}x-\frac{9}{8}=\frac{3}{4}\)
\(\frac{-1}{2}x=\frac{15}{8}\)
\(x=\frac{-15}{4}\)
Vậy \(x=\frac{-15}{4}\)
Tính nhanh:
\(A=\frac{2}{1+2}+2+\frac{3}{12+3}+...+2+3+\frac{20}{1+2+3+...+20}\)
Đặt \(A=\frac{2}{1+2}+2+\frac{3}{12+3}+...+2+3+\frac{20}{1+2+3+...+20}\)
\(=2-1+2+\frac{3}{12+3}+...+2+3+\frac{20}{1+2+3+...+20}\)
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\(A=\frac{2}{1+2}+\frac{2+3}{1+2+3}+....+\frac{2+3+...+20}{1+2+3+...+20}\)
\(A=\frac{2}{3}+\frac{5}{6}+...+\frac{209}{210}\)
\(A=\left(1-\frac{1}{3}\right)+\left(1-\frac{1}{6}\right)+...+\left(1-\frac{1}{210}\right)\)
\(A=\left(1+1+...+1\right)-\left(\frac{1}{3}+\frac{1}{6}+....+\frac{1}{210}\right)\)
\(A=19-\left(\frac{2}{6}+\frac{2}{12}+...+\frac{2}{420}\right)\)
\(A=19-\left(\frac{2}{2.3}+\frac{2}{3.4}+...+\frac{2}{20.21}\right)\)
\(A=19-\left[2\cdot\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{20}-\frac{1}{21}\right)\right]\)
\(A=19-\left[2\cdot\left(\frac{1}{2}-\frac{1}{21}\right)\right]\)
\(A=19-\left[2\cdot\frac{19}{42}\right]=19-\frac{19}{21}=\frac{380}{21}\)
Vậy A = .....
1)\(25x+3\left(4-6x\right)=50\)
\(25x+12-18x=50\)
\(7x+12=50\)
\(7x=38\)
\(x=\frac{38}{7}\)
2)\(4\left(2x+3\right)+2\left(3x+1\right)=120\)
\(8x+12+6x+2=120\)
\(14x+14=120\)
\(14x=106\)
\(x=\frac{53}{7}\)
1) 10 - [ 20 - ( 6 - 8) ]
= 10 - [ 20 - (-2) ]
= 10 - 22
= -12
2)
5 - l x - 2 l = 3
\(=>\orbr{\begin{cases}5-x-2=3\\5-x-2=-3\end{cases}}\)
\(=>\orbr{\begin{cases}5-x=3+2\\5-x=\left(-3\right)+2\end{cases}}\)
\(=>\orbr{\begin{cases}5-x=5\\5-x=-1\end{cases}}\)
\(=>\orbr{\begin{cases}x=5+5=10\\x=\left(-1\right)+5=4\end{cases}}\)
\(=>\orbr{\begin{cases}x=10\\x=4\end{cases}}\)
b) \(\left(x-1\right)^2+2=11\)
\(\left(x-1\right)^2=11-2=9\)
\(=>x-1=3\)
\(=>x=3+1\)
\(=>x=4\)
\(\frac{2}{3}+\frac{1}{3}:3x=20\%\)
\(\frac{2}{3}+\frac{1}{9}x=\frac{1}{5}\)
\(\frac{1}{9}x=\frac{1}{5}-\frac{2}{3}\)
\(\frac{1}{9}x=\frac{-7}{15}\)
\(x=\frac{-7}{15}:\frac{1}{9}\)
\(x=\frac{-21}{5}\)
\(\frac{2}{3}+\frac{1}{3}:3x=20\%\)
\(< =>\frac{1}{3}:3x=20\%-\frac{2}{3}\)
\(< =>\frac{1}{3}:3x=\frac{-7}{15}\)
\(< =>3x=\frac{-5}{7}\)
\(< =>x=\frac{-5}{21}\)
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