\(\left\{x^2-\left[16^2-\left(8^2-9.7\right)^3-17.15\right]^3-5.3\right\}^3=1\)

\(\left\{x^2-\left[256-\left(64-9.7\right)^3-17.15\right]^3-5.3\right\}^3=1\)

\(\left\{x^2-\left[256-1^3-255\right]^3-15\right\}^3=1\)

\(\left\{x^2-\left[255-255\right]^3-15\right\}^3=1\)

\(\left\{x^2-0^3-15\right\}^3=1\)

\(\left\{x^2-15\right\}^3=1\)

\(\left\{4^2-15\right\}^3=1\)

\(\Rightarrow x=4\)

5: \(\Leftrightarrow\left\{x^2-\left[256-\left(64-63\right)^3-255\right]^3-15\right\}^3=1\)

\(\Leftrightarrow\left\{x^2-15\right\}^3=1\)

\(\Leftrightarrow x^2-15=1\)

=>x=4 hoặc x=-4

9) \(\dfrac{x}{4}=\dfrac{9}{x}\)

Theo định nghĩa về hai phân số bằng nhau, ta có:

\(4\cdot9=x^2\\ 36=x^2\Rightarrow\left[{}\begin{matrix}x=6\\x=-6\end{matrix}\right.\)

8)

\(x:\dfrac{5}{3}+\dfrac{1}{3}=-\dfrac{2}{5}\\ x:\dfrac{5}{3}=-\dfrac{2}{5}+\dfrac{1}{3}\\ x:\dfrac{5}{3}=-\dfrac{1}{15}\\ x=\dfrac{1}{15}\cdot\dfrac{5}{3}\\ x=\dfrac{1}{9}\)

7)

\(2x-16=40+x\\ 2x-x=40+16\\ x\left(2-1\right)=56\\ x=56\)

6)

\(1\dfrac{1}{2}+x=\dfrac{3}{2}-7\\ \dfrac{3}{2}+x=\dfrac{3}{2}-7\\ \dfrac{3}{2}-\dfrac{3}{2}=-7-x\\ -7-x=0\\ x=-7-0\\ x=-7\)

5)

\(3\dfrac{1}{2}-\dfrac{1}{2}x=\dfrac{2}{3}\\ \dfrac{7}{2}-\dfrac{1}{2}x=\dfrac{2}{3}\\ \dfrac{1}{2}x=\dfrac{7}{2}-\dfrac{2}{3}\\ \dfrac{1}{2}x=\dfrac{17}{6}\\ x=\dfrac{17}{6}:\dfrac{1}{2}\\ x=\dfrac{17}{3}\)

4)

\(x\cdot\left(x+1\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x+1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)

3)

\(\left(\dfrac{2x}{5}+2\right):\left(-4\right)=-1\dfrac{1}{2}\\ \left(\dfrac{2x}{5}+2\right):\left(-4\right)=-\dfrac{3}{2}\\ \dfrac{2x}{5}+2=-\dfrac{3}{2}\cdot\left(-4\right)\\ \dfrac{2x}{5}+2=6\\ \dfrac{2x}{5}=6-2\\ \dfrac{2x}{5}=4\\ 2x=4\cdot5\\ 2x=20\\ x=20:2\\ x=10\)

2)

\(\dfrac{1}{3}+\dfrac{1}{2}:x=-0,25\\ \dfrac{1}{3}+\dfrac{1}{2}:x=-\dfrac{1}{4}\\ \dfrac{1}{2}:x=-\dfrac{1}{4}-\dfrac{1}{3}\\ \dfrac{1}{2}:x=-\dfrac{7}{12}\\ x=\dfrac{1}{2}:-\dfrac{7}{12}\\ x=-\dfrac{6}{7}\)

1)

\(\dfrac{4}{3}+x=\dfrac{2}{15}\\ x=\dfrac{2}{15}-\dfrac{4}{3}x=-\dfrac{6}{5}\)

1, x^2 . x^3 = 3^7 : 3^2

       x^5     = 3^5

=> x = 3

2, x - 18 : 3 = 12

    x - 6       = 12

    x            = 12 + 6

    x            = 18

3, (x - 18) : 2 = 12

     x - 18       = 12 . 2

     x - 18       = 24

     x             = 24 + 18

     x             = 42

4, x^2 = 16

    x^2 = 4^2

=> x = 4

x=4 nha bn

k k nha

mk k lại cho!

Các bạn ơi,mình ghi thiếu,còn 3 câu nữa nha!!!~~nya

e)| \(\dfrac{5}{2}\)x-\(\dfrac{1}{2}\) |-(-2²).\(\dfrac{1}{3}\)(0,75-\(\dfrac{1}{7}\))=\(\dfrac{-5}{13}\):2\(\dfrac{9}{13}\)-0,5.(\(\dfrac{-2}{3}\))

f)| 5x+21 | = | 2x -63 |

g) -45 - |-3x-96 | - 54=-207

Làm ơn giúp mình với ạ!Mình đang cần gấp lắm trong ngày hôm nay ạ!!!Mình xin cảm ơn các bạn nhiều nhiều lắm luôn đó!!!Thank you very much!!!(^-^)

a, (\(\dfrac{2}{9}\)(6x - \(\dfrac{3}{4}\)) - 3(\(\dfrac{1}{4}x-\dfrac{1}{5}\)) = \(\dfrac{-8}{15}\)

<=> (\(\dfrac{4}{3}x-\dfrac{1}{6}\)) - (\(\dfrac{3}{4}x-\dfrac{3}{5}\)) = \(\dfrac{-8}{15}\)

<=> \(\dfrac{4}{3}x-\dfrac{1}{6}-\dfrac{3}{4}x+\dfrac{3}{5}=\dfrac{-8}{15}\)

<=> \(\dfrac{7}{12}x+\dfrac{13}{30}=\dfrac{-8}{15}\)

<=> \(\dfrac{7}{12}x=\dfrac{-8}{15}-\dfrac{13}{30}\)

<=> \(\dfrac{7}{12}x=-\dfrac{29}{30}\)

<=> x = \(-\dfrac{58}{35}\)
@Nguyễn Gia Hân

320 : ( x - 1 ) = ( 5³ - 5² ) : 4 + 15

<=> 320 : ( x - 1 ) = ( 125 - 25 ) : 4 + 15

<=> 320 : ( x - 1 ) = 100 : 4 + 15

<=> 320 : ( x - 1 ) = 40

<=> x - 1 = 8

<=> x = 9

240 : ( x - 5 ) = 2² . 5² - 20

<=> 240 : ( x - 5 ) = 4 . 25 - 20

<=> 240 : ( x - 5 ) = 80

<=> x - 5 = 3

<=> x = 8

70 : ( x - 3 ) = ( 3⁴ - 1 ) : 4 - 16

<=> 70 : ( x - 3 ) = 80 : 4 - 16

<=> 70 : ( x - 3 ) = 4

<=> x - 3 = 35/2

<=> x = 41/2

a) 320: (x-1) = (5³ - 5²):4 + 15         b) 240: (x-5) = 2².5² - 20      c) 70:(x-3) = (3⁴ - 1):4 - 16

    320: (x-1) = (125- 25): 4 + 15          240: (x-5) = 4.25 - 20            70:(x-3) = (81-1): 4 - 16

    320: (x-1) = 100:4 + 15                   240: (x-5) = 100 - 20              70: (x-3) = 80: 4 - 16

    320: (x-1) = 25 + 15                        240: (x-5) = 80                       70: (x-3) = 20  -16

    320: (x-1) = 40                                (x-5) = 240:80                        70: (x-3) = 4

    (x-1) = 320:40                                 (x-5) = 3                                 (x-3) = 70:4 

      (x-1) = 80                                      x = 5+3                                   (x-3) = 17,5

      x = 80+1                                        x = 8                                       x = 17,5 : 3

       x = 81                                                                                          x = 5,83 

\(1\dfrac{3}{5}+0,25\cdot\dfrac{16}{15}-\dfrac{13}{15}\\ =\dfrac{8}{5}+\dfrac{1}{4}\cdot\dfrac{16}{15}-\dfrac{13}{15}\\ =\dfrac{8}{5}+\dfrac{4}{15}-\dfrac{13}{15}\\ =\dfrac{8}{5}-\dfrac{3}{5}\\ =1\)

\(1\dfrac{3}{5}\)+0,25 x \(\dfrac{16}{15}-\dfrac{13}{15}\)

=\(\dfrac{8}{5}+\dfrac{1}{4}\) x \(\dfrac{1}{5}\)

=\(\dfrac{8}{5}+\dfrac{1}{20}\)

=\(\dfrac{32}{20}+\dfrac{1}{20}\)

=\(\dfrac{33}{20}\)

15: \(\Leftrightarrow\left\{x^2-\left[8^2-\left(25-24\right)^3-63\right]^3-48\right\}=1\)

\(\Leftrightarrow x^2-48=1\)

=>x=7 hoặc x=-7

Tự làm

giúp mk vs

lm đc câu nào thì lm 

mk k