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Ta có: \(\left|x-0,25\right|+\left|2x-1\right|+\left|x-2,5\right|=x-3\)

=>x-3>=0

=>x>=3

=>x-0,25>=2,75>0; 2x-1>=5>0; x-2,5>=0,5>0

Phương trình sẽ trở thành:

x-0,25+2x-1+x-2,5=x-3

=>4x-3,75=x-3

=>3x=-3+3,75=0,75

=>x=0,25(loại)

Vậy: Phương trình vô nghiệm

26 tháng 8 2018

a) \(2,5:0,4x=0,5:0,2\)

\(\Rightarrow\frac{5}{2}:4x=\frac{1}{2}:\frac{1}{5}=\frac{5}{2}\)

\(\Rightarrow4x=\frac{5}{2}:\frac{5}{2}=1\)

\(\Rightarrow x=\frac{1}{4}\)

b) \(\frac{1}{5}x:3=\frac{2}{3}:0,25\)

\(\Rightarrow\frac{1}{5}x:3=\frac{8}{3}\)

\(\Rightarrow\frac{1}{5}x=\frac{8}{3}.3=8\Rightarrow x=40\)

a)2,5:4x=0,5:0,2

2,5:4x=2.5

4x=2,5:2,5

4x=1

x=1:4

x=0,25

15 tháng 8 2017

a, \(2,5:4x=0,5:0,2\)

\(\Rightarrow4x=\dfrac{2,5.0,2}{0,5}\)

\(\Rightarrow4x=1\Rightarrow x=\dfrac{1}{4}\)

b, \(\dfrac{1}{5}x:3=\dfrac{2}{3}:0,5\)

\(\Rightarrow\dfrac{1}{5}x=\dfrac{3.\dfrac{2}{3}}{0,5}\)

\(\Rightarrow\dfrac{1}{5}x=4\Rightarrow x=20\)

c, \(1,25:0,8=\dfrac{3}{8}:0,2x\)

\(\Rightarrow0,2x=\dfrac{0,8.\dfrac{3}{8}}{1,25}\)

\(\Rightarrow0,2x=0,24\Rightarrow x=1,2\)

Chúc bạn học tốt!!

15 tháng 8 2017

a, \(2,5:4x=0,5:0,2\)

\(2,5:4x=2,5\)

\(4x=2,5:2,5\)

\(4x=1\)

\(x=1:4\)

\(x=\dfrac{1}{4}\)

Vậy .............

b, \(\dfrac{1}{5}x:3=\dfrac{2}{3}\)

\(\dfrac{1}{5}x=\dfrac{2}{3}.3\)

\(\dfrac{1}{5}x=2\)

\(x=2:\dfrac{1}{5}\)

\(x=10\)

Vậy .....

c, \(1,25:0,8=\dfrac{3}{8}:0,2x\)

\(1,5625=\dfrac{3}{8}:0,2x\)

\(0,2x=\dfrac{3}{8}:1,5625\)

\(0,2x=0,24\)

\(x=0,24:0,2\)

\(x=1,2\)

Vậy ...

9 tháng 8 2017

a) \(\dfrac{5}{6}:x=30:3\)

\(\Leftrightarrow\dfrac{5}{6}:x=10\)

\(\Leftrightarrow x=\dfrac{5}{6}:10\)

\(\Leftrightarrow x=\dfrac{1}{12}\)

Vậy .......

b) \(x:2,5=0,003:0,75\)

\(\Leftrightarrow x:2,5=0,004\)

\(\Leftrightarrow x=0,004.2,5\)

\(\Leftrightarrow x=0,01\)

Vậy .......

c) \(3,8:\left(2x\right)=\dfrac{1}{4}:2\dfrac{2}{3}\)

\(\Leftrightarrow3,8:\left(2x\right)=\dfrac{1}{4}:\dfrac{8}{3}=\dfrac{3}{32}\)

\(\Leftrightarrow2x=3,8:\dfrac{3}{32}\)

\(\Leftrightarrow2x=\dfrac{698}{25}\)

\(\Leftrightarrow x=\dfrac{304}{15}\)

Vậy ...

d) \(\dfrac{2}{3}:0,4=x:\dfrac{4}{5}\)

\(\Leftrightarrow x:\dfrac{4}{5}=\dfrac{2}{3}\)

\(\Leftrightarrow x=\dfrac{8}{15}\)

Vậy ....

e) \(3\dfrac{4}{5}:40\dfrac{8}{15}=0,25:x\)

\(\Leftrightarrow0,25:x=\dfrac{19}{5}:\dfrac{608}{15}\)

\(\Leftrightarrow0,25x=\dfrac{57}{608}\)

\(\Leftrightarrow x=\dfrac{228}{608}\)

Vậy ...

e) \(\dfrac{x}{-15}=\dfrac{-60}{x}\)

\(\Leftrightarrow xx=\left(-60\right)\left(-15\right)\)

\(\Leftrightarrow x^2=900\)

\(\Leftrightarrow\left[{}\begin{matrix}x^2=30^2\\x^2=\left(-30\right)^2\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=30\\x=-30\end{matrix}\right.\)

Vậy ...

\(a;0,25-\frac{1}{2}\left|1,5-x\right|=2,5\)

\(\Leftrightarrow\frac{1}{2}\left|1,5-x\right|=0,25-2,5\)

\(\Leftrightarrow\frac{1}{2}\left|1,5-x\right|=-2,25\)

\(\Leftrightarrow\left|1,5-x\right|=-2,25\cdot2=-4,5\)

Mà \(\left|1,5-x\right|\ge0\)Nên suy ra |1,5-x|=-4,5 là vô lý

\(b;\left|x+\frac{1}{6}\right|\cdot0,75+\frac{1}{4}=2\frac{1}{3}\)

\(\Leftrightarrow\left|x+\frac{1}{6}\right|\cdot\frac{3}{4}=\frac{7}{3}-\frac{1}{4}\)

\(\Leftrightarrow\left|x+\frac{1}{6}\right|\cdot\frac{3}{4}=\frac{25}{12}\)

\(\Leftrightarrow\left|x+\frac{1}{6}\right|=\frac{25}{12}\cdot\frac{4}{3}\)

\(\Leftrightarrow\left|x+\frac{1}{6}\right|=\frac{25}{9}\Leftrightarrow x+\frac{1}{6}=\pm\frac{25}{9}\)

TH1:\(x+\frac{1}{6}=\frac{25}{9}\)

\(\Leftrightarrow x=\frac{25}{9}-\frac{1}{6}=\frac{47}{18}\)

TH2:\(x+\frac{1}{6}=-\frac{25}{9}\)

\(\Leftrightarrow x=-\frac{25}{9}-\frac{1}{6}=\frac{-53}{18}\)

Vậy \(x=\frac{47}{18};-\frac{53}{18}\)

3 tháng 9 2018

a, \(7\left(x-1\right)+2x\left(1-x\right)=0\)

\(\Rightarrow\left(7-2x\right)\left(x-1\right)=0\)

\(\Rightarrow\orbr{\begin{cases}7-2x=0\\x-1=0\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{7}{2}\\x=1\end{cases}}\)

b, \(0,25-\left|3,5-x\right|=0\)

\(\Rightarrow\left|3,5-x\right|=2,5\)

\(\Rightarrow\orbr{\begin{cases}3,5-x=2,5\\3,5-x=-2,5\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=1\\x=6\end{cases}}\)

c, \(\left|x+\frac{3}{4}\right|-\frac{1}{2}=0\)

\(\Rightarrow\left|x+\frac{3}{4}\right|=\frac{1}{2}\)

\(\Rightarrow\orbr{\begin{cases}x+\frac{3}{4}=\frac{1}{2}\\x+\frac{3}{4}=\frac{-1}{2}\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{-1}{4}\\x=\frac{-5}{4}\end{cases}}\)

3 tháng 9 2018

a) 7.(x-1) + 2x.(1-x) = 0

7.(x-1) - 2x.(x-1) = 0

(x-1).(7-2x) = 0

=> (x-1) = 0 => x = 1

7-2x = 0 => 2x = 7 => x = 7/2

KL:...

b) 0,25 - | 3,5-x| = 0

=> |3,5 - x| = 0,25

TH1: 3,5 - x = 0,25

x = 3,25

TH2: 3,5 - x = -0,25

x = 3,75

phần c bn dựa vào phần b mak lm nha

16 tháng 6 2017

c) Ta có: \(\left\{{}\begin{matrix}\left|x-1,5\right|\ge0\forall x\in Q\\\left|2,5-x\right|\ge0\forall x\in Q\end{matrix}\right.\)

\(\Rightarrow\left|x-1,5\right|+\left|2,5-x\right|\ge0\forall x\in Q\)

Dấu "=" xảy ra khi \(\left\{{}\begin{matrix}\left|x-1,5\right|=0\\\left|2,5-x\right|=0\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x=1,5\\x=2,5\end{matrix}\right.\)

Vậy \(x=\left\{{}\begin{matrix}1,5\\2,5\end{matrix}\right.\).

e) \(\left(x-2\right)^2=1\)

\(\Rightarrow\left[{}\begin{matrix}x-2=\sqrt{1}\\x-2=-\sqrt{1}\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=3\\x=1\end{matrix}\right.\)

Vậy \(\left[{}\begin{matrix}x=3\\x=1\end{matrix}\right.\).

Mấy câu kia dễ rồi.

16 tháng 6 2017

sửa lại ý c của N.Anh

Áp dụng bđt \(\left|a\right|+\left|b\right|\ge\left|a+b\right|\) có:

\(\left|x-1,5\right|+\left|2,5-x\right|\ge\left|x-1,5+2,5-x\right|=1\)

\(\Rightarrow\left|x-1,5\right|+\left|2,5-x\right|\ge1>0\)

mà theo đề thì \(\left|x-1,5\right|+\left|2,5-x\right|=0\)

\(\Rightarrow\) k có gt \(x\) nào tm yêu cầu đề bài

29 tháng 9 2016

a) \(2,5:4x=0,5:0,2\)

\(2,5:4x=\frac{5}{2}\)

\(4x=2,5:\frac{5}{2}\)

\(4x=1\)

\(x=\frac{1}{4}\)

Vậy \(x=\frac{1}{4}\)

b) \(\frac{1}{5}.x:3=\frac{2}{3}:0,25\)

\(\frac{1}{5}.x:3=\frac{8}{3}\)

\(\frac{1}{5}.x=\frac{8}{3}.3\)

\(\frac{1}{5}.x=8\)

\(x=8:\frac{1}{5}\)

\(x=40\)

Vậy \(x=40\)

29 tháng 9 2016

a) \(\frac{2,5}{4x}=\frac{0,5}{0,2}\)

\(=>4x=\frac{0,2.2,5}{0,5}=1\)

\(=>x=\frac{1}{4}\)

b) \(\frac{1}{5}.\frac{x}{3}=\frac{2}{3}:0,25\)

\(=>\frac{x}{15}=\frac{4}{3}\)

\(=>x=\frac{4.15}{3}=20\)