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\(A=\left(1-\frac{1}{2018}\right)\left(1-\frac{2}{2018}\right)\left(1-\frac{3}{2018}\right)...\left(1-\frac{2020}{2018}\right).\)
\(=\frac{2017}{2018}\cdot\frac{2016}{2018}\cdot\frac{2015}{2018}\cdot...\cdot\left(1-\frac{2018}{2018}\right)\cdot...\cdot\frac{-2}{2018}\)
\(=\frac{2017}{2018}\cdot\frac{2016}{2018}\cdot\frac{2015}{2018}\cdot...\cdot0\cdot...\cdot\frac{-2}{2018}\)
\(=0\)
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219 - 7 . ( x+1) = 100
7 . ( x + 1 ) = 219 - 100 = 119
x+ 1= 119:7= 17
x = 17-1=16
(3x - 6 ). 3100 = 3103 2018x-3 = 2018
3x - 6 = 3103 : 3100 2018x-3 = 20181
3x - 6 = 33 =27 Do x-3=1 cho nên suy ra x=4
3x = 27 + 6
3x = 33
x = 33:3
x = 11
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\(\left(x-5\right)^{2018}-\left(x-5\right)^{2016}=0\)
<=> \(\left(x-5\right)^{2016}\left[\left(x-5\right)^2-1\right]=0\)
<=> \(\orbr{\begin{cases}x-5=0\\\left(x-5\right)^2=1\end{cases}}\)<=>\(\orbr{\begin{cases}x=5\\x-5=\pm1\end{cases}}\)
Vậy x\(\in\){4,5,6}
<=>
\(\left(x-5\right)^{2016}=\left(x-5\right)^{2018}\)
\(\Rightarrow\left(x-5\right)^{2016}\left[1-\left(x-5\right)^2\right]=0\)
\(\Rightarrow\hept{\begin{cases}\left(x-5\right)^{2016}=0\\\left(x-5\right)^2=1-0=1\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x-5=0\\x-5=1\\x-5=-1\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=5\\x=6\\x=4\end{cases}}\)
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|x - \(\frac{7}{2}\)|=\(\left(\frac{2}{5}\right)^{2019}\):\(\left(\frac{2}{5}\right)^{2018}\)
\(\Leftrightarrow\)|x - \(\frac{7}{2}\)|=\(\frac{2}{5}\)
\(\Leftrightarrow\)\(\left[{}\begin{matrix}x-\frac{7}{2}=\frac{2}{5}\\x-\frac{-7}{2}=\frac{2}{5}\end{matrix}\right.\)
\(\Leftrightarrow\)\(\left[{}\begin{matrix}x=\frac{2}{5}+\frac{7}{2}\\x=\frac{-2}{5}+\frac{7}{2}\end{matrix}\right.\)
\(\Leftrightarrow\)\(\left[{}\begin{matrix}x=\frac{39}{10}\\x=\frac{31}{19}\end{matrix}\right.\)
Mk viết sai,phải là \(\left[{}\begin{matrix}x=\frac{39}{10}\\x=\frac{31}{10}\end{matrix}\right.\)
\(\frac{2018^5}{x-60}=2018\)
\(\Leftrightarrow2018\left(x-60\right)=2018^5\)
\(\Leftrightarrow x-60=2018^4\)
\(\Leftrightarrow x=2018^4+60\)
\(2018^5:\left(x-60\right)=2018\Leftrightarrow x-60=2018^5-2018\)
\(\Leftrightarrow x-60=2018^4\Leftrightarrow x=2018^4+60\)
\(\Leftrightarrow x=.....\)
Vậy giá trị của x cần tìm là : \(x=.....\)