\(x-0.25=-\frac{6}{11}\cdot\left(\frac{1}{2}+\frac{3}{4}-\frac{1}{3}\right)\)

\(x-\frac{1}{4}=-\frac{6}{11}\cdot\left(\frac{6}{12}+\frac{9}{12}-\frac{4}{12}\right)\)

\(x-\frac{1}{4}=-\frac{6}{11}\cdot\frac{11}{12}\)

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

\(x=-\frac{1}{2}+\frac{1}{4}\)

\(x=-\frac{2}{4}+\frac{1}{4}\)

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

Vậy .......

\(x-0,25=-\frac{6}{11}.\left(\frac{1}{2}+\frac{3}{4}-\frac{1}{3}\right)\)

\(x-0,25=-\frac{6}{11}.\frac{11}{12}\)

\(x-0,25=-\frac{1}{2}\)

\(x=-\frac{1}{2}+0,25=-\frac{1}{4}\)

học tốt ~~~

x=-1/4

x = -1/4

2/3xX-1/4:(11/2-3/4)=1/6

2/3xX:19/4=1/6

2/3xX=1/6x19/4

2/3xX=19/24

       X=19/24:2/3

       X=19/16

chắc luôn

sai rồi em ạ

\(\text{Xét công thức tổng quát }:x^4+\frac{1}{4}=\left(x^4+2.x^2.\frac{1}{2}+\frac{1}{4}\right)-x^2\)

\(=\left(x^2+\frac{1}{2}\right)^2-x^2=\left(x^2-x+\frac{1}{2}\right)\left(x^2+x+\frac{1}{2}\right)\)

Áp dụng vào B ta đc:

\(B=\frac{\left(1^4+\frac{1}{4}\right)\left(3^4+\frac{1}{4}\right)...\left(11^4+\frac{1}{4}\right)}{\left(2^4+\frac{1}{4}\right)\left(4^4+\frac{1}{4}\right)...\left(12^4+\frac{1}{4}\right)}\)

\(=\frac{\left(1^2-1+\frac{1}{2}\right)\left(1^2+1+\frac{1}{2}\right)\left(3^2-3+\frac{1}{2}\right)\left(3^2+3+\frac{1}{2}\right)...\left(11^2-11+\frac{1}{2}\right)\left(11^2+11+\frac{1}{2}\right)}{\left(2^2-2+\frac{1}{2}\right)\left(2^2+2+\frac{1}{2}\right)\left(4^2-4+\frac{1}{2}\right)\left(4^2+4+\frac{1}{2}\right)...\left(12^2-12+\frac{1}{2}\right)\left(12^2+12+\frac{1}{2}\right)}\)

\(=\frac{\frac{1}{2}\left(2+\frac{1}{2}\right)\left(6+\frac{1}{2}\right)\left(12+\frac{1}{2}\right)...\left(110+\frac{1}{2}\right)\left(122+\frac{1}{2}\right)}{\left(2+\frac{1}{2}\right)\left(6+\frac{1}{2}\right)\left(12+\frac{1}{2}\right)\left(20+\frac{1}{2}\right)...\left(132+\frac{1}{2}\right)\left(156+\frac{1}{2}\right)}\)

\(=\frac{\frac{1}{2}\left(122+\frac{1}{2}\right)}{\left(132+\frac{1}{2}\right)\left(156+\frac{1}{2}\right)}=\frac{49}{16589}\)

ko biết có đúng ko!! hình như còn 1 cách là nhân 1 đa thức với 16 nữa thì phải lâu ko động đến bạn thử xem đc ko nhé

a,   11/13 - ( 5/42 - x ) = - (5/28 - 11/13)

    11/13 - (5/42 - x) = - 5/28 + 11/13

    - (5/42 - x) + 5/28 = -11/13 + 11/13

 - 5/42 + x + 5/28 = 0

- 5/42 + x = 0 - 5/28

- 5/42 + x = - 5/28

x = -5/28 +5/42

x = - 5/84

b, / x + 4/15 \ - / - 3,75 \ = - / - 2,15 \

./ x + 4/15 \ - 3,75 = - 2,15

/ x + 4/15 \ = -2,15 + 3,75

/ x + 4/15 \ = 1,6

x + 4 / 15 = 1,6                      hoặc x+ 4/15 = - 1,6

x = 1,6 - 4/15                                   x = - 1,6 -4/15

x = 4/3                                              x = -28/15

Vậy x = 4/3 hoặc x = - 28/15

c, ( 0,25 - 30% x ) . 1/3 = 1/4 - 31/6

( 1/4 - 3/10 x ) . 1/3 = - 59/12

( 1/4 - 3/10 x ) = - 59/12 : 1/3

1/4 - 3/10 x = - 59/4

3/10 x = 1/4 + 59/4

3/10 x = 15

x = 15 : 3/10

x = 50

d, ( x - 1/2 ) : 1/3 + 5/7 = 68/7

( x - 1/2 ) : 1/3 = 68/7 - 5/7

( x - 1/2 ) : 1/3 = 63/7

( x - 1/2 ) = 63/7 . 1/3

x -1/2 = 3 

x = 3 + 1/2

x = 7/2

\(=25\%+25\%\times38+25\%\times50+25\%\times11\)

\(=25\%\times\left(1+38+50+11\right)=25\%\times100=25\)

\(\dfrac{25}{100}+\dfrac{1}{4}\times38+25\%\times50+0,25\times11\)

\(0,25+0,25\times38+0,25\times50+0,25\times11+1\)

\(0,25\times\left(38+50+11+1\right)\)

\(0,25\times100\)

\(25\)

 = (1,25 x 8) x (0,25 x 4) x (2,3 x 11)

 = 10 x 1 x 25,3 = 253

k mk nha

1,25 x 0,25 x 2,3 x 4 x 8 x 11= 253

ta đã có công thức nhân nhẩm với 11 và các số nhân với nhau được 10,100,1000,...

1,25 x 0,25 x 2,3 x 4 x 8 x 11 = 1,25 x 8 x 0,25 x 4 x 2,3 x 11 

                                               = 10 x 1 x 25,3 

                                               = 10 x 25,3 

                                               = 253