\(|x+\frac{1}{10}|+....+|x+\frac{9}{10}|=10x\left(1\right)\)

Ta có: \(|x+\frac{1}{10}|\ge0;\forall x\)

\(|x+\frac{2}{10}|\ge0;\forall x\)

........................................

\(|x+\frac{9}{10}|\ge0;\forall x\)

\(\Rightarrow|x+\frac{1}{10}|+...+|x+\frac{9}{10}|\ge0;\forall x\)

Mà \(|x+\frac{1}{10}|+...+|x+\frac{9}{10}|=10x\)

\(\Rightarrow10x\ge0\)

\(\Rightarrow x\ge0\)

\(\Rightarrow x+\frac{1}{10}\ge0\)

.................................

\(x+\frac{9}{10}\ge0\)

\(\Rightarrow|x+\frac{1}{10}|=x+\frac{1}{10}\)

...................................................

\(|x+\frac{9}{10}|=x+\frac{9}{10}\)

Thay vào (1) ta được ;

\(9x+\frac{55}{10}=11x\)

\(\Leftrightarrow11x-9x=\frac{55}{10}\)

\(\Leftrightarrow2x=\frac{55}{10}\)

\(\Leftrightarrow x=\frac{55}{20}\)

Vậy ...

Lê Tài Bảo Châu (toán học)Dòng 9 e thấy lạ

\(x\ge0\Rightarrow x+\frac{1}{10}\ge\frac{1}{10}\)chứ. Dòng 11 tương tự

ukm xin lỗi nhé 

Cảm ơn em

`@` `\text {Ans}`

`\downarrow`

`a)`

`x + 10 = 20`

`=> x = 20 -10`

`=> x = 10`

Vậy, `x = 10`

`b)`

`2 * x + 15 = 35`

`=> 2x = 35 - 15`

`=> 2x = 20`

`=> x = 20 \div 2`

`=> x = 10`

Vậy, `x = 10`

`c)`

`3 * ( x + 2 ) = 15`

`=> x + 2 = 15 \div 3`

`=> x + 2 = 5`

`=> x = 5 - 2`

`=> x = 3`

Vậy, `x = 3`

`d)`

`10 * x + 15 * 11 = 20 * 10`

`=> 10x + 165 = 200`

`=> 10x = 200 - 165`

`=> 10x = 35`

`=> x = 35 \div 10`

`=> x = 3,5`

Vậy,` x = 3,5`

`e)`

`4 * ( x + 2 ) = 3 * 4`

`=> x + 2 = 12 \div 4`

`=> x + 2 = 3`

`=> x = 3 - 2`

`=> x = 1`

Vậy,` x = 1`

`f)`

`33 x + 135 = 26 * 9`

`=> 33x + 135 = 234`

`=> 33x = 234 - 135`

`=> 33x = 99`

`=> x = 99 \div 33`

`=> x = 3`

Vậy, `x = 3`

`g)`

`2 * x + 15 + 16 + 17 = 100`

`=> 2x + 48 = 100`

`=> 2x = 100 - 48`

`=> 2x = 52`

`=> x = 52 \div 2`

`=> x =26`

`h)`

`2 * (x + 9 + 10 + 11) = 4 . 12 . 25`

`=> 2 * (x + 9 + 10 + 11) = 4*25*12`

`=> 2 * (x + 9 + 10 + 11) = 100*12`

`=> x + 9 + 10 + 11 = 100*12 \div 2`

`=> x + 30 = 600`

`=> x = 600 - 30`

`=> x = 570`

Vậy, `x = 570.`

a) \(x+10=20\Leftrightarrow x=10\)

b) \(2x+15=35\Leftrightarrow2x=20\Leftrightarrow x=10\)

c) \(3.\left(x+2\right)=15\Leftrightarrow x+2=5\Leftrightarrow x=3\)

d) \(10x+15.11=20.10\Leftrightarrow10x+165=200\Leftrightarrow10x=35\Leftrightarrow x=\dfrac{35}{10}=\dfrac{7}{2}\)

e) \(4.\left(x+2\right)=3.4\Leftrightarrow x+2=3\Leftrightarrow x=1\)

f) \(35x+135=26.9\Leftrightarrow35x=234-135\Leftrightarrow35x=99\Leftrightarrow x=\dfrac{99}{35}\)

g) \(2x+15+16+17=100\Leftrightarrow2x+48=100\Leftrightarrow2x=52\Leftrightarrow x=26\)

h) \(2.\left(x+9+10+11\right)=4.12.25\)

\(\Leftrightarrow x+30=2.12.25\)

\(\Leftrightarrow x=600-30\)

\(\Leftrightarrow x=570\)

a) \(\dfrac{1}{2}+x=\dfrac{5}{6}\)

\(\Rightarrow x=\dfrac{5}{6}-\dfrac{1}{2}=\dfrac{5}{6}-\dfrac{3}{6}=\dfrac{2}{6}=\dfrac{1}{3}\)

b) \(x+\dfrac{1}{4}=\dfrac{3}{4}\)

\(\Rightarrow x=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{2}{4}=\dfrac{1}{2}\)

c) \(x-\dfrac{1}{5}=\dfrac{3}{10}\)

\(\Rightarrow x=\dfrac{3}{10}+\dfrac{1}{5}=\dfrac{3}{10}+\dfrac{2}{10}=\dfrac{5}{10}=\dfrac{1}{2}\)

d) \(\dfrac{5}{6}-x=\dfrac{1}{3}\)

\(\Rightarrow x=\dfrac{5}{6}-\dfrac{1}{3}=\dfrac{5}{6}-\dfrac{2}{6}=\dfrac{3}{6}=\dfrac{1}{2}\)

e) \(\dfrac{3}{10}+x=\dfrac{1}{2}\)

\(\Rightarrow x=\dfrac{1}{2}-\dfrac{3}{10}=\dfrac{5}{10}-\dfrac{3}{10}=\dfrac{2}{10}=\dfrac{1}{5}\)

g) \(x+\dfrac{1}{4}=\dfrac{3}{8}\)

\(\Rightarrow x=\dfrac{3}{8}-\dfrac{1}{4}=\dfrac{3}{8}-\dfrac{2}{8}=\dfrac{1}{8}\)

a) ⇒x=56−12=56−36=26=13⇒x=56−12=56−36=26=13

b) ⇒x=34−14=24=12⇒x=34−14=24=12

c) ⇒x=310+15=310+210=510=12⇒x=310+15=310+210=510=12

d) ⇒x=56−13=56−26=36=12⇒x=56−13=56−26=36=12

e) ⇒x=12−310=510−310=210=15⇒x=12−310=510−310=210=15

g) ⇒x=38−14=38−28=18⇒x=38−14=38−28=18

Đọc tiếp

a) ⇒x=56−12=56−36=26=13⇒x=56−12=56−36=26=13

b) ⇒x=34−14=24=12⇒x=34−14=24=12

c) ⇒x=310+15=310+210=510=12⇒x=310+15=310+210=510=12

d) ⇒x=56−13=56−26=36=12⇒x=56−13=56−26=36=12

e) ⇒x=12−310=510−310=210=15⇒x=12−310=510−310=210=15

g) ⇒x=38−14=38−28=18⇒x=38−14=38−28=18