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b,\(\Rightarrow\)\(\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{2}{x\left(x+1\right)}\right):2=\frac{2013}{2015}:2\)
\(\Rightarrow\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{x\left(x+1\right)}=\frac{2013}{4030}\)
\(\Rightarrow\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{x.\left(x+1\right)}=\frac{2013}{4030}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{2013}{4030}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{2013}{4030}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{2015}\)
\(\Rightarrow\)\(x+1=2015\)
\(\Rightarrow x=2014\)
a, 2/3x -3/2.x-1/2x=5/12
x.(2/3-3/2-1/2)=5/12
x. -4/3=5/12
x=5/12:-4/3
x=-5/16
b,2/6+2/12+2/20+...+2/x.(x+1)=2013/2015
2/2.3+2/3.4+2/4.5+...+2/x.(x+1)=2013/2015
1/2(1-1/3+1/3-1/4+1/4-1/5+...+1/x-1/x+1)=2013/2015
1/2(1-1/x+1)=2013/2015
1-1/x+1=2013/2015 : 1/2
1-1/x+1=4206/2015
suy ra đề sai
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(x^3-\frac{4}{25}x=0\)
\(\Leftrightarrow x\left(x+\frac{2}{5}\right)\left(x-\frac{2}{5}\right)=0\)
<=> x = 0
Xét 2 trường hợp:
\(\Leftrightarrow x+\frac{2}{5}=0\)
\(x=0-\frac{2}{5}\)
\(x=-\frac{2}{5}\)
\(\Leftrightarrow x-\frac{2}{5}=0\)
\(x=0+\frac{2}{5}\)
\(x=\frac{2}{5}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=\pm\frac{2}{5}\end{cases}}\)
b) \(\left(\frac{3}{8}+\frac{-3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)
\(=\left(\frac{3}{8}+\frac{-3}{4}+\frac{7}{12}\right):\frac{4}{3}\)
\(=\frac{13}{40}:\frac{4}{3}\)
\(=\frac{39}{120}=\frac{13}{40}\)
c) \(4\left(\frac{-1}{2}\right)^3-2\left(\frac{-1}{2}\right)^2+3\left(\frac{-1}{2}\right)-1\left(\frac{-1}{2}\right)^0\)
\(=4\left(\frac{-1}{2}\right)^3-2\left(\frac{-1}{2}\right)^3+3\left(\frac{-1}{2}\right)-1.1\)
\(=-\frac{1}{2}-\frac{1}{2}-\frac{3}{2}-1.1\)
\(=-\frac{5}{2}-1\)
\(=-\frac{7}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1,
để A thuộc Z thì
x+5 chia het cho x+3
co x+3 chia het cho x+3
=>(x+5)-(x+3)chia het cho x+3
hay2 chia het cho x+3
=>x+3 thuộc ước của 2
=>x+3 thuoc {1,-1,2,-2}
ta co bang
x+3 | 1 | -1 | 2 | -2 |
x | -2 | -4 | -1 | -5 |
vay de A thuoc Z thi x thuoc {-2,-4,-1,-2}
![](https://rs.olm.vn/images/avt/0.png?1311)
(6x)^3/2^3=(2x-1)^3
(6x/2)^3=(2x-1)^3
6x/2=2x-1
Bạn tự giải tiếp đi nhé, mình đang bán nhunh nhớ tick cho mình đó nha
![](https://rs.olm.vn/images/avt/0.png?1311)
Vế trái lớn hơn hoặc bằng 0 nên 11x lớn hơn hoặc bằng 0.
\(\Rightarrow x\ge0\)
Do vậy chỉ cần bỏ dấu giá trị tuyệt đối là tính được.
Kết quả cuối cùng được \(x=\frac{10}{11}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) -1/8 -2x/5-1/3=3
-2x/5=3+1/8+1/3
-2x/5=83/24
-2x=(83×5)/24=415/24
x = (415÷-2)/24= -415/48
b) -7/3 -(25/6 -4/3+ 3/2)
= -7/3 -13/3 = -20/3
![](https://rs.olm.vn/images/avt/0.png?1311)
to noi that: nguoi ta chi thich giup lam bai kho thoi chu bai nay ai di hoc cung lam dc
tai sao ban phai hoi
12 { [ 18 - ( 6 : x + 3 ) ] - 3 } = 130 - 10 = 120
18 - ( 6 : x + 3 ) - 3 = 120 : 12 = 10
18 - ( 6 : x + 3 ) = 10 + 3 = 13
6 : x + 3 = 18 - 13 = 5
6 : x = 5 - 3 = 2
x = 6 : 2 = 3
Vậy x = 3
130 - 12{[18 - (6 : x + 3)] - 3} = 10
12{[18 - (6 : x + 3)] - 3} = 130 - 10
12{[18 - (6 : x + 3)] - 3} = 120
18 - (6 : x + 3) - 3 = 120 : 12
15 - (6 : x + 3) = 10
6 : x + 3 = 15 - 10
6 : x + 3 = 5
6 : x = 5 - 3
6 : x = 2
x = 6 : 2
x = 3
Vậy x = 3