1/4*x+x=36,5-21,5

1/4*x+x=15

x+x=15:1/4

x+x=60

x=60/2=30

\(\frac{1}{4}\)x \(x+x\)+ 21,5 = 36,5

\(\frac{1}{4}\)x \(x+x\)= 35,5 - 21,5

\(\frac{1}{4}\)x \(x+x\)= 14

\(\frac{1\text{x }x}{4}+\frac{x}{1}=14\)

\(\frac{1\text{x }x}{4}+\frac{4\text{ x }x}{4}=14\)

\(\frac{1\text{ x }x+4\text{ x }x}{4}=14\)

\(\frac{x\text{ x }\left(1+4\right)}{4}=14\)

\(\frac{x\text{ x }5}{4}=14\)

\(x\text{ x }5=14\text{ x }4\)

\(x\text{ x }5=56\)

\(x=56:5\)

\(x=11,2\)

Lưu ý: \(x\)và x khác nhau

\(x\)là số \(x\)còn x là nhân

45x-38x=1505

=>7x=1505

=>x=215

X*(45-38)=1505

X*7=1505

X=1505:7

X=215

ủa sao m.n toàn giải hộ tui ko vậy,tui bảo nêu cách giải mà 😑

\(\Rightarrow\left(x^2+2x+4\right)-x\left(x+1\right)⋮x+1\)

\(\Rightarrow\left(x^2+2x+4\right)-\left(x^2+x\right)⋮x+1\)

\(\Rightarrow x^2+2x+4-x^2-x⋮x+1\)

\(\Rightarrow x+4⋮x+1\)

\(\Rightarrow\left(x+4\right)-\left(x+1\right)⋮x+1\)

\(\Rightarrow x+4-x-1⋮x+1\)

\(\Rightarrow3⋮x+1\)

\(\Rightarrow x+1\inƯ\left(3\right)=\left(1;-1;3;-3\right)\)

Ta có bảng sau :

x + 1            1                -1               3                   -3

x                  0                -2               2                   -4

Mà \(x\in Z\)

\(\Rightarrow x\in\left(0;-2;2;-4\right)\)

1) Ta có: |x+3| \(\ge\)0; |2x+y-4| \(\ge\)0

\(\Rightarrow\) |x + 3| + |2x + y - 4| \(\ge\) 0

Dấu = xảy ra khi x+3=0 và 2x+y-4 = 0 \(\Rightarrow\)x=-3; y=10

1)  |x + 3| + |2x + y - 4| = 0

\(\Leftrightarrow\hept{\begin{cases}x+3=0\\2x+y-4=0\end{cases}}\Leftrightarrow\hept{\begin{cases}x=-3\\-6+y-4=0\end{cases}}\Leftrightarrow\hept{\begin{cases}x=-3\\y=10\end{cases}}\)

2) Ta có:  |x + 3| + |x + y - 6| + |7 - 1| = 0

\(\Leftrightarrow\) |x + 3| + |x + y - 6| + 6= 0

\(\Leftrightarrow\)|x + 3| + |x + y - 6| = -6

= 6x² + 21x -2x - 7 - 6x² + 5x + 6x - 5 - 10x - 12

= 20x - 19

Ta có 27^5=3^3^5=3^15
243^3=3^5^3=3^15
Vậy A=B
2^300=2^(3.100)=2^3^100=8^100
3^200=3^(2.100)=3^2^100=9^100
Vậy A<B

a) (x - 12). 105 = 0

    x-12= 0 : 105

    x - 12 = 0

   x = 0+ 12

   x = 12

b) (47.(27 - x) = 94

    27-x =94 : 47

    27 - x = 2

    x = 27 - 2

    x = 25

c) 2x + 69 .2 = 69.5

   2x = 69.5 - 69.2

   2x = 69 . (5 - 2)

   2x = 69.3

   2x = 207

   x = 207 : 2

   x = 103,5

2/3.x + 1/4 = 7/12

2/3.x           = 7/12 - 1/4

2/3.x           = 1/3

x                 = 1/3 : 2/3

x                 = 1/2

Bài làm

\(\frac{2}{3}x+\frac{1}{4}=\frac{7}{12}\)

\(\frac{2}{3}x=\frac{7}{12}-\frac{1}{4}\)

\(\frac{2}{3}x=\frac{7}{12}-\frac{3}{12}\)

\(\frac{2}{3}x=\frac{4}{12}\)

\(\frac{2}{3}x=\frac{1}{3}\)

\(x=\frac{1}{3}:\frac{2}{3}\)

\(x=\frac{1}{3}.\frac{3}{2}\)

\(x=\frac{1}{2}\)

Vậy \(x=\frac{1}{2}\)

2/3 .x + 1/4 = 7/12

2/3 .x         = 7/12 - 1/4

2/3.x          = 1/3

x                = 1/3 : 2/3

x                = 1/2

3/ x(2 + x)(7 - x) = 0

=> x = 0 

hoặc 2 + x = 0 => x = -2

hoặc 7 - x = 0 => x = 7

Vậy x = 0, x = -2, x = 7

4/ (x - 1)(x + 2)(-x - 3) = 0

=> x - 1 = 0 => x = 1

hoặc x + 2 = 0 => x = -2

hoặc -x - 3 = 0 => -x = 3 => x = -3

Vậy x = 1 , x = -2 , x = -3

a) \(\left(\frac{1}{7}x-\frac{2}{3}\right)\left(-\frac{1}{5}x+\frac{3}{5}\right)=0\)

\(\Rightarrow\orbr{\begin{cases}\frac{1}{7}x-\frac{2}{3}=0\\-\frac{1}{5}x+\frac{3}{5}=0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}\frac{1}{7}x=\frac{2}{3}\\-\frac{1}{5}x=-\frac{3}{5}\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{14}{3}\\x=3\end{cases}}\)

b)\(\frac{1}{10}x-\frac{4}{5}x+1=0\)

\(\Leftrightarrow x.\left(\frac{1}{10}-\frac{4}{5}\right)+1=0\)

\(\Rightarrow-\frac{7}{10}x=-1\)

\(\Rightarrow x=\frac{10}{7}\)

c)\(\left(2x-\frac{1}{3}\right).\left(5x+\frac{2}{7}\right)=0\)

\(\Rightarrow\orbr{\begin{cases}2x-\frac{1}{3}=0\\5x+\frac{2}{7}=0\end{cases}\Rightarrow\orbr{\begin{cases}2x=\frac{1}{3}\\5x=-\frac{2}{7}\end{cases}}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{6}\\x=-\frac{2}{35}\end{cases}}\)

a, (1/7 . x - 2/3) . (-1/5 . x + 3/5) = 0

Suy ra : 1/7 .x -2/3 = 0 hoặc -1/5 .x + 3/5 =0

Vậy : 1/7 .x = 2/3 hoặc -1/5 .x = 3/5

         x =2/3 : 1/7 hoặc x = 3/5 : (-1/5)

        x = 14/3 hoặc x = -3

b, 1/10 .x - 4/5 .x + 1 =0

   x . (1/10 - 4/5) + 1 = 0

   x . (-7/10) + 1 = 0

   x . -7/10 =0 +1 = 1

   x = 1 : (-7/10)

   x = -10/7

c, (2x - 1/3 ) . (5x +2/7) = 0

Suy ra : 2x - 1/3 = 0 hoặc 5x + 2/7 = 0

Vậy : 2x = 1/3 hoặc 5x = 2/7

         x = 1/3 : 2 hoặc x = 2/7 : 5

         x = 1/6 hoặc x = 2/35

cái chỗ x = -3 bạn sửa lại là 3 nha , mk nhấn nhầm