dễ thấy vế trái luôn>0 nên 6x>0=> x>0

x>0, bỏ dấu trị tuyệt đối ra ta đc 4x+10=6x

x=5

chúc bạn học giỏi, ăn Tết đc ngon, hehe -_-

HYC-30/1/2022

Answer:

\(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|=6x\)

Có \(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|\ge0\)

\(\Rightarrow6x\ge0\)

\(\Rightarrow x\ge0\)

\(\Rightarrow x+1+x+2+x+3+x+4=6x\)

\(\Rightarrow4x+10=6x\)

\(\Rightarrow2x=10\)

\(\Rightarrow x=5\)

\(\frac{x}{3}=\frac{2}{3}+\frac{-1}{7}\)

=>\(\frac{x}{3}=\frac{11}{21}\)

=>x=\(\frac{11}{21}\cdot3=\frac{33}{21}\)

=>x=\(\frac{11}{7}\)

=>x/3 =11/21

Theo tính chất p số = nhau

=>x.21=3.11

x        =33:21=11/7

a) Để biểu thức đạt giá trị nguyên thì :

   \(4⋮x+1\)

\(\Rightarrow x+1\in\left\{1;-1;4;-4\right\}\)

Lập bảng :

Vậy \(x\in\left\{0;-2;3;-5\right\}\)

x nhân 12,35+x nhân 12,56=875

x nhân (12,35+12,65)         =875

x nhân 25                          =875

x                                       =875 :25

x                                       =35

x . 12,35 + x . 12,65 = 875

x . ( 12,35 + 12,65 ) = 875

x . 25 = 875

x = 875 : 25

x = 35

x . 12,35 + x . 12,65 = 875

x. ( 12,35 + 12,65 ) = 875

x . 25 =875

x = 875 : 25

x= 35

phần b tự làm

X x 8,01 - X : 100   = 38

X x 8,01 - X x 0,01 = 38

X x (8,01 - 0,01)     = 38

X x          8              = 38

X                             = 38 : 8

X                             = 4,75

x . 8,01 - x : 100 = 38

x . 8,01 - x . 1/100 = 38

x . ( 8,01 - 1/100 ) = 38

x . 8                       = 38

x                             = 19/4 = 4,75

*Dấu "." là dấu nhân

Ai ngang qua xin để lại 1 L-I-K-E

\(x=4.75\)

( x + 1 ) + ( x + 2 ) + ( x + 3 ) + .... + ( x + 100 ) = 5750

( x + x + x + ... + x ) + ( 1 + 2 + 3 + ... + 100 ) = 5750

     100 chữ số x

100 . x + 5050 = 5750

100 . x = 5750 - 5050

100 . x = 700

x = 700 : 100

x = 7

(x+x+...+x)+(1+2+3+...+100)=5750

100x+5050=5750

100x=5750-5050

100x=700

x=700/100

x=7

(1-2)+(3-4)+...+(2011-2012).........(có (2012-1+1):2=1006 cặp số)

=-1+-1+-1+.......+-1

=-1.1006=-1006

tick nha

a) (2x - 5)³ = 27

(2x - 5)³ = 3³

2x - 5 = 3

2x = 8

x = 4

b) 5^{x + 3} - 13 = 612

5^{x + 3} = 625

5^{x + 3} = 5⁴

x + 3 = 4

x = 1

\(A=\left(\dfrac{x}{x+2}+\dfrac{8x+8}{x^2+2x}-\dfrac{x+2}{x}\right):\left(\dfrac{x^2-x-3}{x^2+2x}+\dfrac{1}{x}\right)\)

\(\Leftrightarrow A=\left(\dfrac{x^2}{x\left(x+2\right)}+\dfrac{8x+8}{x\left(x+2\right)}-\dfrac{\left(x+2\right)^2}{x\left(x+2\right)}\right):\left(\dfrac{x^2-x-3}{x\left(x+2\right)}+\dfrac{x+2}{x\left(x+2\right)}\right)\)

\(\Leftrightarrow A=\dfrac{x^2+8x+8-\left(x+2\right)^2}{x\left(x+2\right)}:\dfrac{x^2-x-3+x+2}{x\left(x+2\right)}\)

\(\Leftrightarrow A=\dfrac{x^2+8x+8-x^2-4x-4}{x\left(x+2\right)}:\dfrac{x^2-1}{x\left(x+2\right)}\)

\(\Leftrightarrow A=\dfrac{4x+4}{x\left(x+2\right)}.\dfrac{x\left(x+2\right)}{\left(x-1\right)\left(x+1\right)}\)

\(\Leftrightarrow A=\dfrac{4\left(x+1\right)}{x\left(x+2\right)}.\dfrac{x\left(x+2\right)}{\left(x-1\right)\left(x+1\right)}\)

\(\Leftrightarrow A=\dfrac{4}{x-1}\)

\(A=\dfrac{x^2+8x+8-x^2-4x-4}{x\left(x+2\right)}:\dfrac{x^2-x-3+x^2+2x}{x\left(x+2\right)}\)

\(=\dfrac{4\left(x+1\right)}{x-3}\)