a)      5x – 65 = 5.32

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18 tháng 12 2020

a) \(5x-65=5.3^2 \\ 5x-65=45\\5x=45+65\\5x=110\\x=22\)

b) \(200-(2x+6)=4^3\\2x+6=200-4^3\\2x+6=136\\2x=130\\x=65\)

c) \(2(x-51)=2.2^3+20\\2(x-51)=16+20\\2(x-51)=36\\x-51=18\\x=51+18=69\)

d) \(135-5(x+4)=35\\5(x+4)=135-45\\5(x-4)=90\\x-4=18\\x=18+4=22\)

e) \((2x-4)(15-3x)=0\\2(x-2).3(5-x)=0\\(x-2)(5-x)=0\\ \left[ \begin{array}{l}x-2=0\\5-x=0\end{array} \right. \\ \left[ \begin{array}{l}x=2\\x=5\end{array} \right.\)

f) \(2^{x+1} . 2^{2014}=2^{2016} \\ (2^{x+1} . 2^{2014}):2^{2014}=2^{2016} :2^{2014} \\ 2^{x=1}=2^{2016-2014} \\2^{x+1}=2^2\\x+1=2\\x=1\)

g) \(15+(x-1)^3=43\\(x-1)^3=15-42\\(x-1)^3=-27\\(x-1)^3=(-3)^3\\x-1=-3\\x=-2\)

h) \(15-x=17+(-9)\\15-x=17-9\\15-x=8\\x=15-8\\x=7\)

i) \(|x-5|=|-7|+|-4|\\|x-5|=7+4\\|x-5|=11\\ \left[ \begin{array}{l}x-5=11\\x-5=-11\end{array} \right. \\ \left[ \begin{array}{l}x=16\\x=-6\end{array} \right.\)

k) \(|x-3|-12=-9+|-7|\\|x-3|-12=-9+7\\|x-3|-12=-2\\|x-3|=10 \\ \left[ \begin{array}{l}x-3=10\\x-3=-10\end{array} \right. \\ \left[ \begin{array}{l}x=13\\x=-7\end{array} \right.\)

20 tháng 12 2016

 

Tìm x :

a) 35 + 3. |x| = 50

3.|x|=50-35

3.|x|=15

|x|=15:3

|x|=5

x=5 hoặc x=-5

 

b)72 - [41 - (2x - 5) ]- 23.5

41-(2x-5)=72-40

41-(2x-5)=32

2x-5=41-32

2x-5=9

2x=9+5

2x=14

x=14:2

x=7

c) 70 - 5 (x - 3) = 45

5(x-3)=70-45

5(x-3)=25

x-3=25:5

x-3=5

x-5+3

x=8

 

25 tháng 7 2019

a. 52 + (x+3) = 52

=> x + 3    = 52 - 52

=>  x + 3   =  0

=>  x  = -3

25 tháng 7 2019

b. 23 + (x-32) = 53 - 43

=> 8 + (x-9) =  125 - 64

=> x - 9 = 125 - 64 - 8

=> x - 9 =  53

=> x    =  53 + 9

=> x    =   62

25 tháng 7 2021

i) \(2345-1000\div\left[19-2\left(21-18\right)^2\right]\)

\(=\)\(2345-1000\div\left[19-2.3^2\right]\)

\(=\)\(2345-1000\div\left[19-2.9\right]\)

\(=\)\(2345-1000\div\left[19-18\right]\)

\(=\)\(2345-1000\div1\)

\(=\)\(2345-1000\)

\(=\)\(1345\)

j) \(128-\left[68+8\left(37-35\right)^2\right]\div4\)

\(=\)\(128-\left[68+8.2^2\right]\div4\)

\(=\)\(128-\left[68+8.4\right]\div4\)

\(=\)\(128-\left[68+32\right]\div4\)

\(=\)\(128-100\div4\)

\(=\)\(128-25\)

\(=\)\(3\)

k) \(568-\left\{5\left[143-\left(4-1\right)^2\right]+10\right\}\div10\)

\(=\)\(568-\left\{5\left[143-3^2\right]+10\right\}\div10\)

\(=\)\(568-\left\{5\left[143-9\right]+10\right\}\div10\)

\(=\)\(568-\left\{5.134+10\right\}\div10\)

\(=\)\(568-\left\{670+10\right\}\div10\)

\(=\)\(568-680\div10\)

\(=\)\(568-68\)

\(=\)\(500\)

25 tháng 7 2021

a) \(107-\left\{38+\left[7.3^2-24\div6+\left(9-7\right)^3\right]\right\}\div15\)

\(=\)\(107-\left\{38+\left[7.3^2-24\div6+2^3\right]\right\}\div15\)

\(=\)\(107-\left\{38+\left[7.9-4+8\right]\right\}\div15\)

\(=\)\(107-\left\{38+\left[63-4+8\right]\right\}\div15\)

\(=\)\(107-\left\{38+67\right\}\div15\)

\(=\)\(107-105\div15\)

\(=\)\(107-7\)

\(=\)\(7\)

b) \(307-\left[\left(180-160\right)\div2^2+9\right]\div2\)

\(=\)\(307-\left[20\div4+9\right]\div2\)

\(=\)\(307-\left[5+9\right]\div2\)

\(=\)\(307-14\div2\)

\(=\)\(307-7\)

\(=\)\(300\)

c) \(205-\left[1200-\left(4^2-2.3\right)^3\right]\div40\)

\(=\)\(205-\left[1200-\left(16-6\right)^3\right]\div40\)

\(=\)\(205-\left[1200-10^3\right]\div40\)

\(=\)\(205-\left[1200-1000\right]\div40\)

\(=\)\(205-200\div40\)

\(=\)\(205-5\)

\(=\)\(200\)

25 tháng 12 2021

S = 1 + 3 + 32 + 33 + ... + 38 + 39

S = ( 1 + 3 ) + ( 32 + 33 ) + ... + ( 38 + 39 )

S = 4 + ( 1 . 32 + 3 .32 ) + .. + ( 1. 38 + 3 . 38 ) 

S = 4 + 4 .32 + .. + 4 . 38

S = 4 ( 1 + 32 + ... + 38 ) \(⋮\)4

Vậy S \(⋮\)4 ( đpcm )

Học tốt

#Dương

S = 1 + 3 + 3+ 3+ 34+35+ 3+ 3+ 38+39

S=( 1 + 3)+(3+ 33)+(34+35)+(3+ 37)+(38+39)

s=4+32.(3+1)+32.(3+1)+34.(3+1)+36.(3+1)+38.(3+1)

S=4.(1+32+34+36+38)

CHIA HẾT CHO 4

29 tháng 6 2021

cái dấu [] là dấu đối

29 tháng 6 2021

a)\(x+12=-23+5\)

\(< =>x+12+23-5=0\)

\(< =>x+30=0\)

\(< =>x=-30\)

14 tháng 8 2019

a> =>x+1=3

=>x=2

 vậy x=2

b> =>32x-1=33

=>2x-1=3

=>2x=4

=>x=2

  vậy x=2

C> =>22+x=27

=>2+x=7

=>x=5

 vậy x=5

D> =>33x-2=34

=>3x-2=4

=>3x=6

=>x=2

 vậy x=2

14 tháng 8 2019

a) 6x+1 = 63 <=> x + 1 = 3 <=> x = 2

b) 32x-1 = 27 <=> 32x-1 = 33 <=> 2x-1 = 3 <=> 2x = 4 <=> x = 2

c)4 . 2x = 128 <=> 2x = 128 : 4 <=> 2x = 32 <=> 2x = 25 <=> x = 5

d) 33x-2 = 81 <=> 33x-2 = 34 <=> 3x - 2 = 4 <=> 3x = 6 <=> x = 2