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21 tháng 9 2020

1. 3x - 36 = 12 . 75 + 25 . 12

    3x - 36 = 12 . (75+25)

    3x - 36 = 12 . 100

    3x - 36 = 1200

    3x = 1200 + 36

    3x = 1236

=>  x = 1236 : 3 = 412

câu 1 thôi nhá bạn

21 tháng 9 2020

3x - 36 = 12 . 75 + 25 . 12

3x - 36 = 12 . (75 + 25)

3x - 36 = 1200

3x = 1164

x = 388

x : 2 - 12 = 33 . 40 + 33 . 59 + 33

x : 2 - 12 = 33 . 40 + 33 . 59 + 33 . 1

x : 2 - 12 = (40 + 59 + 1)

x : 2 - 12 = 3300

x : 2 = 3288

x = 1644

(x - 4) . (9 - x) = 0

Thỏa mãn điều kiện\(\hept{\begin{cases}x=4\\x=9\end{cases}}\)

(x - 6) . (2020 - x) = 0

Thỏa mãn điều kiện\(\hept{\begin{cases}x=6\\x=2020\end{cases}}\)

x . (6 - x) = 0

Thỏa mãn điều kiện 6 - x = 0 

x = 6

(x - 3 - 12) . (20 - x) = 0

Thỏa mãn điều kiện \(x\le20\); 20 - x = 0

x = 20

`@` `\text {Ans}`

`\downarrow`

`a)`

`5(x + 35) = 515`

`=> x + 35 = 515 \div 5`

`=> x+ 35 = 103`

`=> x = 103 - 35`

`=> x = 68`

Vậy, `x = 68`

`b)`

`12x - 33 = 3^2 * 3^3`

`=> 12x - 33 = 3^5`

`=> 12x = 3^5 + 33`

`=> 12x = 276`

`=> x = 276 \div 12`

`=> x = 23`

Vậy, `x = 23`

`c)`

`6x - 5 = 19`

`=> 6x = 19 + 5`

`=> 6x = 24`

`=> x = 24 \div 6`

`=> x = 4`

Vậy, `x = 4`

`d)`

`4(x - 12) + 9 = 17`

`=> 4(x - 12) = 17 - 9`

`=> 4(x - 12) = 8`

`=> x - 12 = 8 \div 4`

`=> x - 12 = 2`

`=> x = 14`

Vậy, `x = 14`

`e)`

123 - 5(x + 4) = 38`

`=> 5(x + 4)= 123 - 38`

`=> 5(x + 4) =85`

`=> x + 4 = 85 \div 5`

`=> x + 4 = 17`

`=> x = 13`

Vậy, `x = 13`

`f)`

`(3x - 2^4) * 7^3 = 2 * 7^4`

`=> 3x - 2^4 = 2 * 7^4 \div 7^3`

`=> 3x - 2^4 = 2* 7`

`=> 3x - 2^4 = 14`

`=> 3x = 14 + 2^4`

`=> 3x = 30`

`=> x = 30 \div 3`

`=> x = 10`

Vậy, `x = 10.`

13 tháng 8 2023

tớ cảm ơn ạ

 

4 tháng 11 2019

25 tháng 10 2021

\(1,\Leftrightarrow7x=42\Leftrightarrow x=6\\ 2,\Leftrightarrow36-4x=4\Leftrightarrow4x=32\Leftrightarrow x=8\\ 3,\Leftrightarrow3x=35\Leftrightarrow x=\dfrac{35}{3}\\ 4,\Leftrightarrow x-12=144\Leftrightarrow x=156\\ 5,\Leftrightarrow x-14=16\Leftrightarrow x=30\\ 6,\Leftrightarrow3x-24=\dfrac{148}{73}\Leftrightarrow3x=\dfrac{1900}{73}\Leftrightarrow x=\dfrac{1900}{219}\\ 7,\Leftrightarrow33+x=45\Leftrightarrow x=12\\ 8,Sai.đề\\ 9,\Leftrightarrow\left(x+9\right):2=39\Leftrightarrow x+9=78\Leftrightarrow x=69\\ 11,\Leftrightarrow2\left(x+7\right)=38\Leftrightarrow x+7=19\Leftrightarrow x=12\\ 13,\Leftrightarrow2\left(x-51\right)=66\Leftrightarrow x-51=33\Leftrightarrow x=84\)

25 tháng 10 2021

\(15,\Leftrightarrow x-19=9\Leftrightarrow x=28\\ 17,\Leftrightarrow\left(x-3\right):2=48\Leftrightarrow x-3=96\Leftrightarrow x=99\\ 19,\Leftrightarrow0x=46\Leftrightarrow x\in\varnothing\\ 8,Sai.đề\\ 14,\Leftrightarrow2x=209\Leftrightarrow x=\dfrac{209}{2}\\ 16,\Leftrightarrow2x+6=157\Leftrightarrow2x=151\Leftrightarrow x=\dfrac{151}{2}\\ 18,\Leftrightarrow5\left(x+4\right)=100\Leftrightarrow x+4=20\Leftrightarrow x=16\\ 20,\Leftrightarrow\left(3x-5\right)^3=27=3^3\Leftrightarrow3x-5=3\Leftrightarrow x=\dfrac{8}{3}\)

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

5 tháng 8 2020

chuyển đổi lại : (7x - 3) : 12 = 13

=> (7x - 3) = 13 * 12

=> 7x - 3 = 156

=> 7x = 159

=> x=  159/7

[(7x - 31) : 5] * 36 = 7236

=> [(7x - 31) : 5] = 7236 : 36 = 201

=> (7x - 31) : 5 = 201

=> 7x - 31 = 1005

=> 7x = 1036

=> x = 148

1 + 2 + 3 + 4 + 5 +... + 100 + x = 5350

SSH : \(\left(100-1\right):1+1=100\)

=> tổng : \(\frac{\left(1+100\right)\cdot100}{2}=5050\)

=> 5050 + x = 5350

=> x = 5350 - 5050 = 300

80 - 9(x - 4) = 35

=> 9(x - 4) = 80 - 35 = 45

=> x - 4 = 45 : 9

=> x - 4 = 5

=> x = 9

(3x - 21) : 4 + 108 = 114

=> (3x - 21) : 4 = 114 - 108 = 6

=> 3x - 21 = 24

=> 3x = 45

=> x = 15

[(6x - 72) : 2 - 84]*14 = 2814

=> [(6x - 72) : 2 - 84] = 201

=> (6x - 72) : 2 - 84 = 201

=> (6x - 72) : 2 = 285

=> 6x - 72 = 570

=> 6x = 642

=> x = 107

28x + 12x = 80

=> 40x = 80

=> x = 2

249 - 7(1 + x) = 200

=> 7(1 + x) = 49

=> 1 + x = 7

=> x = 6

20 - [(x - 5) * 7 + 4] = 2

=> [(x - 5) * 7 + 4] = 18

=> (x - 5)*7 + 4 = 18

=> (x - 5) * 7 = 14

=> x - 5 = 2

=> x = 7

\(\frac{7x-33}{12}=13\)

\(7x-33=13\cdot12\)

\(7x-33=156\)

\(7x=156+33\)

\(7x=189\)

\(x=\frac{189}{7}=27\)

\(\frac{7x-31}{5}\cdot36=7236\)

\(\frac{7x-31}{5}=\frac{7236}{36}\)

\(\frac{7x-31}{5}=201\)

\(7x-31=201\cdot5\)

\(7x-31=1005\)

\(7x=1005+31\)

\(7x=1036\)

\(x=\frac{1036}{7}=148\)

\(1+2+3+4+5+..+100+x=5350\)

\(\left(1+2+3+4+5+...+100\right)+x=5350\)

Phần 1 + 2 + 3 + 4 + 5 + ... + 100 có số số hạng là :

             \(\frac{100-1}{1}+1=100\) ( số hạng )

\(\Rightarrow\frac{\left(100+1\right)\cdot100}{2}+x=5350\)

\(5050+x=5350\)

\(x=5350-5050=300\)

\(80-9\left(x-4\right)=35\)

\(9\left(x-4\right)=80-35\)

\(9\left(x-4\right)=45\)

\(x-4=\frac{45}{9}\)

\(x-4=5\)

\(x=5+4=9\)

\(\frac{3x-21}{4}+108=114\)

\(\frac{3x-21}{4}=114-108\)

\(\frac{3x-21}{4}=6\)

\(3x-21=6\cdot4\)

\(3x-21=24\)

\(3x=24+21\)

\(3x=45\)

\(x=\frac{45}{3}=15\)

\(14\left(\frac{6x-72}{2}-84\right)=2814\)

\(3x-36-84=\frac{2814}{14}\)

\(3x-120=201\)

\(3x=201+120\)

\(3x=321\)

\(x=\frac{321}{3}=107\)

\(28x+12x=80\)

\(x\left(28+12\right)=80\)

\(x\cdot40=80\)

\(x=\frac{80}{40}=2\)

\(249-7\left(1+x\right)=200\)

\(-7\left(1+x\right)=200-249\)

\(-7\left(1+x\right)=-49\)

\(1+x=\frac{-49}{-7}\)

\(1+x=7\)

\(x=7-1=6\)

\(20-7\left(x-5\right)+4=2\)

\(20-7\left(x-5\right)=2-4\)

\(20-7\left(x-5\right)=-2\)

\(-7\left(x-5\right)=-2-20\)

\(-7\left(x-5\right)=-22\)

\(x-5=\frac{-22}{-7}\)

\(x=\frac{22}{7}+5=\frac{57}{7}\)

NV
23 tháng 6 2019

a/ \(\left(x-2\right)^2=11+6\sqrt{2}\)

\(\Leftrightarrow\left(x-2\right)^2=\left(3+\sqrt{2}\right)^2\)

\(\Leftrightarrow\left[{}\begin{matrix}x-2=3+\sqrt{2}\\x-2=-3-\sqrt{2}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=5+\sqrt{2}\\x=-1-\sqrt{2}\end{matrix}\right.\)

b/ \(x^2-10x+25=27-10\sqrt{2}\)

\(\Leftrightarrow\left(x-5\right)^2=\left(5-\sqrt{2}\right)^2\)

\(\Leftrightarrow\left[{}\begin{matrix}x-5=5-\sqrt{2}\\x-5=\sqrt{2}-5\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=10-\sqrt{2}\\x=\sqrt{2}\end{matrix}\right.\)

c/ \(4x^2+4x+1=28-10\sqrt{3}\)

\(\Leftrightarrow\left(2x+1\right)^2=\left(5-\sqrt{3}\right)^2\)

\(\Leftrightarrow\left[{}\begin{matrix}2x+1=5-\sqrt{3}\\2x+1=\sqrt{3}-5\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{4-\sqrt{3}}{2}\\x=\frac{-6+\sqrt{3}}{2}\end{matrix}\right.\)

NV
23 tháng 6 2019

d/ \(x^2+2\sqrt{5}x+5=21-4\sqrt{5}\)

\(\Leftrightarrow\left(x+\sqrt{5}\right)^2=\left(2\sqrt{5}-1\right)^2\)

\(\Leftrightarrow\left[{}\begin{matrix}x+\sqrt{5}=2\sqrt{5}-1\\x+\sqrt{5}=1-2\sqrt{5}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\sqrt{5}-1\\x=1-3\sqrt{5}\end{matrix}\right.\)

e/ \(x^2+2\sqrt{12}x+12=13-4\sqrt{3}\)

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

\(\Leftrightarrow\left[{}\begin{matrix}x+2\sqrt{3}=2\sqrt{3}-1\\x+2\sqrt{3}=1-2\sqrt{3}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=1-4\sqrt{3}\end{matrix}\right.\)

f/ \(4x^2-12\sqrt{2}x+18=51-10\sqrt{2}\)

\(\Leftrightarrow\left(2x-3\sqrt{2}\right)^2=\left(5\sqrt{2}-1\right)^2\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-5\sqrt{2}=5\sqrt{2}-1\\2x-2\sqrt{2}=1-5\sqrt{2}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{10\sqrt{2}-1}{2}\\x=\frac{1-3\sqrt{2}}{2}\end{matrix}\right.\)

18 tháng 8 2023

18 - 4\(x\) = -20 - 6\(x\) 

-4\(x\) + 6\(x\) = - 20  - 18

      2\(x\)    = - 38

         \(x\)  = - 19

h, -15 \(\times\) 24 = -7\(x\) + 32

     7\(x\) = 360 + 32

      7\(x\) = 392

         \(x\) =  392:7

          \(x\) = 56

18 tháng 8 2023

i, 15\(x\) -3.(4\(x\) - 6) = -12 + 36

    15\(x\) - 12\(x\) + 18 =  24

      3\(x\) = 24 - 18

       3\(x\) = 6

         \(x\) = 2

k, -10\(x\) - 27 = -7\(x\) + 33

    -27 - 33 = -7\(x\) + 10\(x\)

     3\(x\) = -60

        \(x\) = -20

 

 

LM
Lê Minh Vũ
CTVHS VIP
19 tháng 9 2023

\(\left(2x-6\right)\times\left(5-x\right)=0\)

\(2x-6=0;5-x=0\)

\(x=3;x=5\)

Vậy: \(x=3;x=5\)

20 tháng 9 2023

2x−6=0;5−x=0

x=3;x=5

Vậy x = 3 và 5.

7 tháng 5 2022

\(\dfrac{x\left(x-8\right)+3\left(x+6\right)}{\left(x+6\right)\left(x-8\right)}=\dfrac{-12x+33}{\left(x+6\right)\left(x-8\right)}\left(đk:x\ne-6;8\right)\)

\(x^2-8x+3x+18=-12x+33\)

\(x^2-5x+18+12x-33=0\)

\(x^2+7x+15=0\)

\(\text{∆}=7^2-4.15=-11< 0\)

⇒ pt vô nghiệm

đk : x khác -6 ; 8 

\(x^2-8x+3x+18=-12x+33\Leftrightarrow x^2+7x-25=0\)

\(\Leftrightarrow x=\dfrac{-7\pm\sqrt{149}}{2}\)