(x+5687):7=3542+18754
2006:x+1955=2014
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
2006 : \(x\) + 1955 = 2014
2006 : \(x\) = 2014 - 1955
2006 : \(x\) = 59
\(x\) = 2006 : 59
\(x\) = 34
\(x\times35\) - 35 = 1225
\(x\) \(\times\) 35 = 1225 + 35
\(x\times\) 35 = 1260
\(x\) = 1260 : 35
\(x\) = 36
981 \(\times\) ( \(x\) + 189) = 185409
\(x\) + 189 = 185409 : 981
\(x\) + 189 = 189
\(x\) = 189 - 189
\(x\) = 0
a/ \(2006.|x-1|+1.\left(x-1\right)^2=2005.|1-x|.\)
\(\Rightarrow2006.|x-1|+\left(x-1\right)^2-2005.|1-x|=0\)
Vì \(\hept{\begin{cases}|x-1|\ge0\\|1-x|\ge0\end{cases}}\)
mà \(|x-1|=x-1\)
\(|1-x|=x-1\)\(\Rightarrow|x-1|=|1-x|\)
Thay vào ta được:
\(2006.\left(x-1\right)+\left(x-1\right)^2-2005.\left(x-1\right)=0\)
\(\Rightarrow\left(x-1\right).\left(2006-2005\right)+\left(x-1\right)^2=0\)
\(\Rightarrow\left(x-1\right)+\left(x-1\right)^2=0\)
Vì \(\left(x-1\right)^2\ge0\)với mọi x
nên \(\Rightarrow\hept{\begin{cases}x-1=0\\\left(x-1\right)^2\end{cases}\Rightarrow\hept{\begin{cases}x=1\\x=1\end{cases}}}\)(t/m)
Vậy x = 1
b/ Vì \(\left(x-2014\right)^{2014}\ge0\)với mọi x
\(\left(y-2015\right)^{2014}\ge0\)với mọi y
Để \(\left(x-2014\right)^{2014}+\left(y-2015\right)^{2014}=0\)
\(\Rightarrow\hept{\begin{cases}\left(x-2014\right)^{2014}=0\\\left(y-2015\right)^{2014}=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x-2014=0\\y-2015=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=2014\\y=2015\end{cases}}\)
Vậy : .......
Nhớ k nhé! Thank you!!!
Trả lời:
\(\frac{1}{2004}\times\left(1-\frac{1}{2005}\right)\times\left(1-\frac{1}{2006}\right)\times...\times\left(1-\frac{1}{2014}\right)\)
\(=\frac{1}{2004}\times\frac{2004}{2005}\times\frac{2005}{2006}\times...\times\frac{2013}{2014}\)
\(=\frac{1}{2014}\)
456 + (x - 357) = 1362
=> x - 357 = 1362 - 456
=> x - 357 = 906
=> x = 906 + 357
=> x = 1263
c) (x - 2005) . 2006 = 0
=> x - 2005 = 0 : 2006
=> x - 2005 = 0
=> x = 0 + 2005
=> x = 2005
a) 456 + ( x - 357 ) = 1362
=> x - 357 = 906
=> x = 1263
b) ( 2345 - x ) - 183 = 2014
=> 2345 - x = 2197
=> x = 148
c) ( x - 2005 ) . 2006 = 0
=> x - 2005 = 0
=> x = 2005
còn lại làm tương tự
\(\Leftrightarrow\frac{x-1}{2011}+1+\frac{x-2}{2012}+1+\frac{x-3}{2013}+1+\frac{x-4}{2014}+1-\left(x+2010\right)=0\)
\(\Leftrightarrow\frac{x+2010}{2011}+\frac{x+2010}{2012}+\frac{x+2010}{2013}+\frac{x+2010}{2014}-\left(x+2010\right)=0\)
\(\Leftrightarrow\left(x+2010\right)\left(\frac{1}{2011}+\frac{1}{2012}+\frac{1}{2013}+\frac{1}{2014}-1\right)=0\)
\(\Leftrightarrow x=-2010\)
1. a. 1234.2014+2014.8766
= 2014.(1234+8766)
= 2014.10000
= 20140000
b. 1357.2468-2468.357
= 2468.(1357-357)
= 2468.1000
= 2468000
c. (14678:2+2476).(2576-2575)-> (nếu hợp lí thì chỗ này phải là 2576)
= (7339+2476).1
= 9815.1
= 9815
d. (195-13.15) : (1945+1014)
= (195-195) : (1945+1014)
= 0 : (1945+1014)
= 0
2. a. 456+(x-357)=1362
=> x-357=1362-456
=> x-357=906
=> x=906+357
=> x=1263
b. (2345-x)-183=2014
=> 2345-x=2014+183
=> 2345-x=2197
=> x=2345-2197
=> x=148
c. (x-2005).2006=0
=> x-2005=0:2006
=> x-2005=0
=> x=2005+0
=> x=2005
d. 480+45.4=(x+125):5+260
=> 480+180=(x+125):5+260
=> 660=(x+125):5+260
=> (x+125):5=660-260
=> (x+125):5=400
=> x+125=400.5
=> x+125=2000
=> x=2000-125
=> x=1875
e. 2005.(x-2006)=2005
=> x-2006=2005:2005
=> x-2006=1
=> x=1+2006
=> x=2007
g. [(x+50).50-50]:50=50
=> (x+50).50-50=50.50
=> (x+50).50-50=2500
=> (x+50).50=2500+50
=> (x+50).50=2550
=> x+50=2550:50
=> x+50=51
=> x=51-50
=> x=1
1 )(x+5687):7=3542+18754
=> (x+5687):7 = 22 296
=> x + 5687 = 22 296 x 7 = 156 072
=> x = 156 072 - 5687 = 150 385
Vậy x = 150 385
2 ) 2006:x+1955=2014
=> 2006: x = 2014 - 1955=59
=> x = 2006 : 59 = 34
Vậy = 34
mình trả lời nhưng nó không hiện