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ta có : x:\(\dfrac{x}{y}\)=\(\dfrac{1}{3}\)
->x.\(\dfrac{y}{x}\)=\(\dfrac{1}{3}\)
->y=\(\dfrac{1}{3}\)
->x-\(\dfrac{3}{\dfrac{1}{3}}\)=\(\dfrac{1}{2}\)
->x = \(\dfrac{19}{2}\)
Vậy......
\(\frac{x+2}{10^{10}}+\frac{x+2}{11^{11}}=\frac{x+2}{12^{12}}+\frac{x+2}{13^{13}}\)
=> \(\frac{x+2}{10^{10}}+\frac{x+2}{11^{11}}-\frac{x+2}{12^{12}}-\frac{x+2}{13^{13}}=0\)
=> \(\left(x+2\right)\left(\frac{1}{10^{10}}+\frac{1}{11^{11}}-\frac{1}{12^{12}}-\frac{1}{13^{13}}\right)=0\)
Vì \(\frac{1}{10^{10}}+\frac{1}{11^{11}}\ne\frac{1}{12^{12}}+\frac{1}{13^{13}}\Rightarrow\frac{1}{10^{10}}+\frac{1}{11^{11}}-\frac{1}{12^{12}}-\frac{1}{13^{13}}\ne0\)
=> \(x+2=0\Rightarrow x=-2\)
5x + 1 - 5x = 500
=> 5x - (-1) - 5x = 500
=> 5x - 5x - (-1) = 500
=> 0 - (-1) = 500
=> 1 = 500
=> Sai đề
Để A \(\in\)Z
=> x + 2 chia hết cho x - 1
=> x - 1 + 3 chia hết cho x - 1
Có x - 1 chia hết cho x - 1
=> 3 chia hết cho x - 1
=> x - 1 thuộc Ư(3)
=> x - 1 thuộc {1; -1; 3; -3}
=> x thuộc {2; 0; 4; -2}
\(A=\frac{x+2}{x-1}\)
\(\Leftrightarrow\frac{x-1+3}{x-1}\)
\(\Leftrightarrow1+\frac{3}{x-1}\)
\(\Leftrightarrow\frac{3}{x-1}\)
\(\Leftrightarrow x-1\subset1,-1,3,-3\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=0\end{cases}\orbr{\begin{cases}x=4\\x=-2\end{cases}}}\)
1, x2 = 0
=> x=0
2,x2=1
=> x= 1 hoặc x=-1
3,x2=3
=>\(x=\sqrt{3}\)
4,x2=6
=>\(x=\sqrt{6}\)
5,x2=7
=>\(x=\sqrt{7}\)
\(B=\frac{1}{1.2}=\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2017.2018}\)
\(B=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2017}-\frac{1}{2018}\)
\(B=\left(1-\frac{1}{2018}\right)-\left(\frac{1}{2}-\frac{1}{2}\right)-...-\left(\frac{1}{2017}-\frac{1}{2017}\right)\)
\(B=1-\frac{1}{2018}=\frac{2017}{2018}\)
Vậy \(B=\frac{2017}{2018}\)
\(\left|x+2\right|>3\)
\(\Rightarrow\text{ }x+2>-3\)
\(x>-5\)
\(|x+2|>3\)
\(\Rightarrow\orbr{\begin{cases}x+2=3\\x+2=-3\end{cases}}\\\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=-5\end{cases}}\)