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27 tháng 7 2023

1) \(2^3\times x-5^2\times x=2\times\left(5^2+2^2\right)-33\)

\(x\times\left(2^3-5^2\right)=2\times\left(25+4\right)-33\)

\(x\times\left(8-25\right)=2\times29-33\)

\(x\times-17=25\)

\(x=-\dfrac{25}{17}\)

2) \(15\div\left(x+2\right)=\left(3^3+3\right)\div1\)

\(15\div\left(x+2\right)=\left(27+3\right)\div1\)

\(15\div\left(x+2\right)=30\div1\)

\(15\div\left(x+2\right)=30\)

\(x+2=\dfrac{1}{2}\)

\(x=-\dfrac{3}{2}\)

3) \(20\div\left(x+1\right)=\left(5^2+1\right)\div13\)

\(20\div\left(x+1\right)=\left(25+1\right)\div13\)

\(20\div\left(x+1\right)=26\div13\)

\(20\div\left(x+1\right)=2\)

\(x+1=20\div2\)

\(x+1=10\)

\(x=9\)

27 tháng 7 2023

4) \(320\div\left(x-1\right)=\left(5^3-5^2\right)\div4+15\)

\(320\div\left(x-1\right)=\left(125-25\right)\div4+15\)

\(320\div\left(x-1\right)=100\div4+15\)

\(320\div\left(x-1\right)=25+15\)

\(320\div\left(x-1\right)=40\)

\(x-1=8\)

\(x=9\)

5) \(240\div\left(x-5\right)=2^2\times5^2-20\)

\(240\div\left(x-5\right)=4\times25-20\)

\(240\div\left(x-5\right)=100-20\)

\(240\div\left(x-5\right)=80\)

\(x-5=30\)

\(x=35\)

6) \(70\div\left(x-3\right)=\left(3^4-1\right)\div4-10\)

\(70\div\left(x-3\right)=\left(81-1\right)\div4-10\)

\(70\div\left(x-3\right)=80\div4-10\)

\(70\div\left(x-3\right)=20-10\)

\(70\div\left(x-3\right)=10\)

\(x-3=7\)

\(x=10\)

23 tháng 8 2020

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 

    

16 tháng 8 2023

a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)

\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)

\(\Rightarrow x=\dfrac{5}{6}-\dfrac{5}{4}\)

\(\Rightarrow x=\dfrac{-5}{12}\)

b) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\dfrac{-1}{3}\)

\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)

\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)

\(\Rightarrow x=\dfrac{2}{5}\)

c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)

\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-77}{120}\)

d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)

\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)

\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)

\(\Rightarrow x=\dfrac{-7}{20}\)

e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)

\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-59}{105}\)

16 tháng 8 2023

g) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)

\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{-13}{12}\)

17 tháng 10 2021

1: Ta có: \(20-2\left(x+4\right)=4\)

\(\Leftrightarrow2\left(x+4\right)=16\)

\(\Leftrightarrow x+4=8\)

hay x=4

5: Ta có: \(\left(x+1\right)^3=27\)

\(\Leftrightarrow x+1=3\)

hay x=2

11 tháng 7 2017

Ta có : \(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).......\left(1-\frac{1}{100}\right)\)

\(=\frac{1}{2}\frac{2}{3}.\frac{3}{4}.......\frac{99}{100}\)

\(=\frac{1}{100}\)

Giải:

a) \(2\dfrac{17}{20}-1\dfrac{15}{11}+6\dfrac{9}{20}:3\)

\(=\dfrac{57}{20}-\dfrac{26}{11}+\dfrac{129}{20}:3\) 

\(=\dfrac{107}{220}+\dfrac{43}{20}\)

\(=\dfrac{29}{11}\)

b) \(4\dfrac{3}{7}:\left(\dfrac{7}{5}.4\dfrac{3}{7}\right)\) 

\(=\dfrac{31}{7}:\left(\dfrac{7}{5}.\dfrac{31}{7}\right)\) 

\(=\dfrac{31}{7}:\dfrac{31}{5}\) 

\(=\dfrac{5}{7}\) 

c) \(\left(3\dfrac{2}{9}.\dfrac{15}{23}.1\dfrac{7}{29}\right):\dfrac{5}{23}\) 

\(=\left(\dfrac{29}{9}.\dfrac{15}{23}.\dfrac{36}{29}\right):\dfrac{5}{23}\) 

\(=\dfrac{60}{23}:\dfrac{5}{23}\) 

\(=12\)

a)=1/2 . 8/15 - 3/4.47/9

=4/15 - 47/12

=-73/20

b)=2-1/3 . -21/20

=2+7/20

=47/20

1 tháng 10 2016

1, Tìm x :

a, \(x^7.x^5=3^{12}\)

\(\Rightarrow x^{12}=3^{12}\)

\(\Rightarrow x=3\)

Vậy x = 3

b, \(\left(x+1\right)^4=5^8\div25^4\)

\(\left(x+1\right)^4=5^8\div\left(5^2\right)^4\)

\(\left(x+1\right)^4=5^8\div5^8\)

\(\left(x+1\right)^4=1\)

\(\Rightarrow x\in\left\{0;1\right\}\)

Vậy \(x\in\left\{0;1\right\}\)

c, \(x^6=x\)

\(\Rightarrow x^6-x=0\)

\(\Rightarrow x.x^5-x.1=0\)

\(\Rightarrow x\left(x^5-1\right)=0\)

x = 0 hoặc x5 - 1 = 0

x = 0 hoặc x5= 1

x = 0 hoặc x5 = 1

\(\Rightarrow x\in\left\{0;1\right\}\)

Vậy \(x\in\left\{0;1\right\}\)

1 tháng 10 2016

2, Tính :

\(\left(4^{20}+4^{15}\right)\div\left(4^{10}+4^5\right)\) 

\(=4^{15}.\left(4^5+1\right)\div4^5.\left(4^5+1\right)\)

\(=4^{15}\div4^5\)

\(=4^{10}\)

Vậy giá trị biểu thức trên bằng 410

\(A=2^0+2^1+2^2+...+2^{2016}\)

\(2A=2+2^2+2^3+...+2^{2017}\)

\(2A-A=\left(2+2^2+2^3+...+2^{2017}\right)-\left(2^0+2^1+2^2+...+2^{2016}\right)\)

\(\Rightarrow A=2^{2017}-1\)

Vậy : \(A=2^{2017}-1\)

27 tháng 7 2023

a) \(\dfrac{7}{5}x\div\left(9-6\dfrac{13}{21}\right)=2\dfrac{13}{25}\)

\(\dfrac{7}{5}x\div\left(9-\dfrac{139}{21}\right)=\dfrac{63}{25}\)

\(\dfrac{7}{5}x\div\dfrac{50}{21}=\dfrac{63}{25}\)

\(\dfrac{7}{5}x=6\)

\(x=\dfrac{30}{7}\)

b) \(\left(1,16-x\right)\times5,25\div\left(10\dfrac{5}{9}-7\dfrac{1}{4}\right)\times2\dfrac{2}{17}=75\%\)

\(\left(1,16-x\right)\times5,25\div\left(\dfrac{95}{9}-\dfrac{29}{4}\right)\times\dfrac{36}{17}=\dfrac{75}{100}\)

\(\left(1,16-x\right)\times5,25\div\dfrac{119}{36}=\dfrac{17}{48}\)

\(\left(1,16-x\right)\times5,25=\dfrac{2023}{1728}\)

\(1,16-x=\dfrac{289}{1296}\)

\(x=0,9370061728\)

 

27 tháng 7 2023

52 ×.(y : 78) = 3380

         y : 78   = 3380 : 52

         y : 78   = 65

         y           = 65 ×. 78

         y           = 5070