\(a,=-2\sqrt{5}+9\sqrt{5}-24\sqrt{5}-\sqrt{5}=-18\sqrt{5}\)

\(b,=2\sqrt{3}-5\sqrt{3}+4\sqrt{3}-7\sqrt{3}=-6\sqrt{3}\)

\(c,=3\sqrt{3}+7\sqrt{3}-9\sqrt{3}+11\sqrt{3}=12\sqrt{3}\)

a) Ta có: \(-\sqrt{20}+3\sqrt{45}-6\sqrt{80}-\dfrac{1}{5}\sqrt{125}\)

\(=-2\sqrt{5}+9\sqrt{5}-24\sqrt{5}-\dfrac{1}{5}\cdot5\sqrt{5}\)

\(=-17\sqrt{5}-\sqrt{5}=-18\sqrt{5}\)

b) Ta có: \(2\sqrt{3}-\sqrt{75}+2\sqrt{12}-\sqrt{147}\)

\(=2\sqrt{3}-5\sqrt{3}+4\sqrt{3}-7\sqrt{3}\)

\(=-6\sqrt{3}\)

Tính nhanh các tổng sau:           

a) 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26 + 29         

= ( 2+ 8 ) + ( 5 + 20) + ( 11 + 29 ) + ( 14 + 26 ) + ( 17 + 23 )           

=    10     +    25       +    40          +     40        +      40         

=              35           +          120            

=    155                           

b) 120 + 116 + 112 + 108 + 104 + 100 + 96 + 92 + 88 + 84 + 80             

= ( 120 + 80 ) + ( 116 + 84 )+ ( 112 + 88 ) + ( 108 + 92 ) + ( 104 + 96 ) + 100              

=      200       +      200        +       200       +      200        +       200      +  100          

= 200 x 5 + 100           

= 1100

a, So so hang la

( 29 - 2 ) : 3 + 1 = 10 ( so )

Tong la : ( 29 + 2 ) x 10 : 2 = 155

b,So so hang la

( 120 - 80 ) : 4 + 1 = 11 ( so )

Tong la

( 120 + 80 ) x 11 : 2 = 1100

a) ( 2 + 29 ) + ( 5 + 26 ) + ( 8 + 23 ) + ( 11 + 20 ) + ( 14 + 17 )

= 31 + 31 + 31 + 31 + 31

= 31 x 5

= 155

b) ( 120 + 80 ) + ( 116 + 84 ) + ( 112 + 88 ) + ( 108 + 92 ) + ( 104 + 96 ) + 100

=    200          +    200          +      200        +    200          +    200         + 100

= 200 x 5 + 100

= 110

k mình nhé mấy bạn

1) \(5^{x+1}-5^x=20\Leftrightarrow5^x\left(5-1\right)=20\Leftrightarrow5^x=5\Leftrightarrow x=1\)

2) \(2^x+2^{x+4}=544\Leftrightarrow2^x\left(1+2^4\right)=544\Leftrightarrow2^x=32\Leftrightarrow x=5\)

3) \(4^{2x+1}+4^{2x}=80\Leftrightarrow4^{2x}\left(4+1\right)=80\Leftrightarrow16^x=16\Leftrightarrow x=1\)

4) \(3^{2x+2}+3^{2x+1}=108\Leftrightarrow3^{2x}\left(3^2+3\right)=108\Leftrightarrow9^x=9\Leftrightarrow x=1\)

5) \(7^{x+3}-7^{x+1}=16464\Leftrightarrow7^x\left(7^3-7\right)=16464\Leftrightarrow7^x=49\Leftrightarrow x=2\)

c:Ta có: \(5^{x+1}-5^x=20\)

\(\Leftrightarrow5^x\cdot5-5^x=20\)

\(\Leftrightarrow5^x\cdot4=20\)

\(\Leftrightarrow5^x=5\)

hay x=1

c: Ta có: \(2^x+2^{x+4}=544\)

\(\Leftrightarrow2^x+2^x\cdot16=544\)

\(\Leftrightarrow2^x\cdot17=544\)

\(\Leftrightarrow2^x=32\)

hay x=5

c: Ta có: \(4^{2x+1}+4^{2x}=80\)

\(\Leftrightarrow16^x\cdot4+16^x=80\)

\(\Leftrightarrow16^x\cdot5=80\)

\(\Leftrightarrow16^x=16\)

hay x=1

c: Ta có: \(3^{2x+2}+3^{2x+1}=108\)

\(\Leftrightarrow9^x\cdot9+9^x\cdot3=108\)

\(\Leftrightarrow9^x\cdot12=108\)

\(\Leftrightarrow9^x=9\)

hay x=1

c: Ta có: \(7^{x+3}-7^{x+1}=16464\)

\(\Leftrightarrow7^x\cdot343-7^x\cdot7=16464\)

\(\Leftrightarrow7^x\cdot336=16464\)

\(\Leftrightarrow7^x=49\)

hay x=2

 Tìm x, y thuộc Z, biết:

a) 2x- 3y+ xy= 11

b) x^3: 6= -108

c) (-x)^2- 5= 11

Đọc tiếp...

\(-\dfrac{8}{11}.x=\dfrac{2}{5}.\dfrac{1}{4}\)

\(-\dfrac{8}{11}.x=\dfrac{2}{20}\)

\(-\dfrac{8}{11}.x=\dfrac{1}{10}\)

\(x=\dfrac{1}{10}:-\dfrac{8}{11}\)

\(x=-\dfrac{11}{81}\)

Chọn d

D nha

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 )

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

\(5050+x=5350\)

\(x=5350-5050=300\)

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

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

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

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

\(x-4=5\)

\(x=5+4=9\)

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

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

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

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

\(3x-21=24\)

\(3x=24+21\)

\(3x=45\)

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

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

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

\(3x-120=201\)

\(3x=201+120\)

\(3x=321\)

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

\(28x+12x=80\)

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

\(x\cdot40=80\)

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

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

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

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

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

\(1+x=7\)

\(x=7-1=6\)

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

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

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

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

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

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

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

a)80-3.(x+4)=8

3.(x+4)=80-8=72

x+4=72:3=24

x+24-4=20

Vậy x=20

(x+1)+(x+3)+(x+5)+(x+7)+(x+9)+(x+11)=108

6x+36=108

6x=72

x=12

~~~~~~~~~~~ai đi ngang qua nhớ để lại k ~~~~~~~~~~~~~

 ~~~~~~~~~~~~ Chúc bạn sớm kiếm được nhiều điểm hỏi đáp ~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~ Và chúc các bạn trả lời câu hỏi này kiếm được nhiều k hơn ~~~~~~~~~~~~

(x+1)+(x+3)+(x+5)+(x+7)+(x+9)+(x+11)=108

( x + x + x + x + x + x ) + ( 1 + 3 + 5 + 7 + 9 + 11 ) = 108

6x + 36 = 108

6x = 108 - 36

6x = 72

x = 72 : 6

x = 12

x=6 nha