X×0.9+X÷10=5.6
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(y\times\dfrac{1}{10}+y\times0,9=10\)
\(y\times0,1+y\times0,9=10\)
\(y\times\left(0,1+0,9\right)=10\)
\(y\times1=10\)
\(y=10\div1\)
\(y=10\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{x\cdot\left(x+1\right)}=\frac{3}{10}\)
\(\Rightarrow\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{3}{10}\)
\(\Rightarrow\frac{1}{3}-\frac{1}{x+1}=\frac{3}{10}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{3}-\frac{3}{10}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{30}\)
\(\Rightarrow x=30-1\)
\(\Rightarrow x=29\)
vậy: \(x=29\)
![](https://rs.olm.vn/images/avt/0.png?1311)
(1/3-1/4+1/4-1/5+1/5-.......+1/x.(x+1)=3/10
1/3-1/x+1=3/10
tự làm...
![](https://rs.olm.vn/images/avt/0.png?1311)
1/3.4+1/4.5+1/5.6+1/6.7+....+1/x(x+1)=3/10
<=> \(\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{\left(x+1\right)x}=\frac{1}{3}-\frac{1}{x+1}=\frac{3}{10}\)
<=> \(\frac{1}{x+1}=\frac{1}{3}-\frac{3}{10}=\frac{1}{30}\)=> x+1=30=>x=29
\(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+...+\frac{1}{x\left(x+1\right)}=\frac{3}{10}\)
\(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{3}{10}\)
\(\frac{1}{3}-\frac{1}{x+1}=\frac{3}{10}\)
\(\frac{1}{x+1}=\frac{1}{3}-\frac{3}{10}\)
\(\frac{1}{x+1}=\frac{1}{30}\)
\(\Rightarrow x+1=30\)
\(x=30-1=29\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Mình sửa đề luôn ^^
\(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{x\left(x+1\right)}=\frac{3}{10}\)
\(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{3}{10}\)
\(\frac{1}{3}-\frac{1}{x+1}=\frac{3}{10}\)
\(\frac{1}{x+1}=\frac{1}{30}\)
=> x + 1 = 30
=> x = 29
Vậy,..... @_@ ^^
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+...+\frac{1}{x\left(x+1\right)}=\frac{3}{10}\)
\(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{3}{10}\)
\(\frac{1}{3}-\frac{1}{x+1}=\frac{3}{10}\)
\(\frac{1}{x+1}=\frac{1}{30}\)
\(x+1=30\)
\(x=29\)
\(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+....+\frac{1}{x\left(x+1\right)}=\frac{3}{10}\left(x\ne0;x\ne-1\right)\)
\(\Leftrightarrow\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+....+\frac{1}{x}-\frac{1}{x+1}=\frac{3}{10}\)
\(\Leftrightarrow\frac{1}{3}-\frac{1}{x+1}=\frac{3}{10}\)
\(\Leftrightarrow\frac{x+1}{3\left(x+1\right)}-\frac{3}{3\left(x+1\right)}=\frac{3}{10}\)
\(\Leftrightarrow\frac{x-2}{3\left(x+1\right)}=\frac{3}{10}\)
<=> 10(x-2)=3.3(x+1)
<=> 10x-20=9(x+1)
<=> 10x-20=9x+1
<=> 10x-20-9x-1=0
<=> x-21=0
<=> x=21 (tmđk)
Vậy x=21
![](https://rs.olm.vn/images/avt/0.png?1311)
Nhân hết trước, rồi cộng:
5.6 x 2 + 2.8 x 8 + 5.6 x 4
=11.2 + 22.4 + 22.4
=56
hoặc tính ra từng bước.
![](https://rs.olm.vn/images/avt/0.png?1311)
0,4 :x = x: 0.9
=> x.x = 0,4 . 0,9
=> x2 = 0,36
=> x= 0,6 hoặc x= -0,6
vậy x= 0,6 hoặc x= -0,6
\(\frac{0.4}{x}=\frac{x}{0.9}=>x^2=0.4\times0.9=\frac{9}{25}\)
\(=>x=\frac{3}{5}\)
\(x\) x 0,9 + \(x\) : 10 = 5,6
\(x\) x 0,9 + \(x\) x 0,1 = 5,6
\(x\) x (0,9 + 0,1) = 5,6
\(x\) x 1 = 5,6
\(x\) = 5,6
x \(\times\)0,9 + x : 10 = 5,6
x \(\times\) 0,9 + x : 0,1 = 5,6
x = 5,6 : ( 0,9 + 0,1 )
x = 5,6 : 1
x = 5,6
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