\(a,3.5^{x+1}-100=-25\\ 3.5^{x+1}=-25+100\\ 3.5^{x+1}=75\\ 5^{x+1}=75:3\\ 5^{x+1}=25\\ 2^{x+1}=5^2\\ x+1=2\\ x=2-1\\ x=1\)

\(b,4x-26+2x=28\\ 4x+2x-26\\ 6x-26=28\\ 6x=28+26\\ 6x=54\\ x=54:6\\ x=9\)

a) x= + - 5
b) x\(\in\)\(\left\{-1;-7\right\}\)

a/ \(x^2-25=0\)

\(\Rightarrow\left(x+5\right)\left(x-5\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x+5=0\Rightarrow x=-5\\x-5=0\Rightarrow x=5\end{matrix}\right.\)

b/ \(x\left(x+7\right)+x+7=0\)

\(x\left(x+7\right)+\left(x+7\right)=0\)

\(\left(x+7\right)\left(x+1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x+7=0\Rightarrow x=-7\\x+1=0\Rightarrow x=-1\end{matrix}\right.\)

e) x-[42+(-28)]=-8

=> x-14=-8

=> x=-8+14

=> x=-6

f) |x-3|=|5|+|-7|

=> |x-3|=5+7=12

=> x-3=12 hoặc x-3=-12

=> x=12+3 hoặc x=-12+3

=> =15 hoặc x=-9

h) 9x-1=9

=> 9x=9+1=10

=> x=10/9

g) 3x=9 

=> x=9:3=3

Các bn ơi !Giúp mk đi!

Ai nhanh mk k nhé !

`#040911`

`a)`

`3 1/3 x + 16 3/4 = -13,25`

`=> 3 1/3 x = -13,25 - 16 3/4`

`=> 3 1/3 x = -30`

`=> x = -30 \div 3 1/3`

`=> x =-9`

Vậy, `x = -9`

`b)`

`3 2/7*x - 1/8 = 2 3/4`

`=> 3 2/7x = 2 3/4 + 1/8`

`=> 3 2/7x = 23/8`

`=> x = 23/8 \div 3 2/7`

`=> x = 7/8`

Vậy, `x = 7/8`

`c)`

`x \div 4 1/3 = -2,5`

`=> x = -2,5 * 4 1/3`

`=> x = -65/6`

Vậy, `x = -65/6`

`d)`

`( (3x)/7 + 1) \div (-4) = (-1)/28`

`=> (3x)/7 +1 = (-1)/28 * (-4)`

`=> (3x)/7 + 1 = 1/7`

`=> (3x)/7 = 1/7 - 1`

`=> (3x)/7 = -6/7`

`=> 3x = -6`

`=> x = -6 \div 3`

`=> x = -2`

Vậy, `x = -2.`

a

=>10/3 . x + 16 + 3/4 = -13,25

=>10/3 x + 3/4 = -29,25

=>10/3 x = -30

=>x=-30 : 10/3

=>x=-30 . 3/10

=>x=-9

b.

=>23/7 x - 1/8 = = 11/4

=>23/7 x = 11/4 + 1/8

=>23/7 x= 22/8 + 1/8

=>23/7 x= 23/8

=>x=23/8 : 23/7

=>x=23/8 . 7/23

=>x=7/8

c.

=>x : 13/3 =-5/2

=>x=-5/2 . 13/3

=>x=-65/6

d.

=>3x/7 +1 = (-1/28) . (-4)

=>3x/7 + 1 = 1/7

=>3x/7 = -6/7

=>3x=-6

=>x=-2

x-7=-5

=>x=-5+7=2

x+2=0

=>x=0-2=-2

\(\left(3x-2^4\right)\cdot7^3=2\cdot7^4\)

=>\(3x-16=\frac{2\cdot7^4}{7^3}=2\cdot7=14\)

=>3x=16+14=30

=>x=30/3=10

|x-5|=|-7|

=>x-5=7 hoặc x-5=-7

=>x=12 hoặc x=-2

x-[42+(-28)]=-8

=>x-14=-8

=>x=-8+14

=>x=6

128-3(x+4)=23

=>3(x+4)=128-23=105

=>x+4=35

=>x=35-4=31

4-(7-x)=x-(13-4)

=>4-7+x=x-9

=>x-3=x-9

=>-3=-9(vô lý)

=>x∈∅

Bài 2:

S1=1+2+...+999

\(=\frac{999\left(999+1\right)}{2}=999\cdot\frac{1000}{2}\)

\(=999\cdot500=499500\)

S1=10+12+...+2010

Số số hạng của dãy là:

(2010-10):2+1=2000:2+1=1001(số)

Tổng của dãy số là:

\(S_1=\left(2010+10\right)\cdot\frac{1001}{2}=2020\cdot\frac{1001}{2}=1001\cdot1010=1011010\)

c)x-[42+(-28)]=-8

x-34=-8

x =-8+34

x =26

a) x - 7 = -5

\(\Leftrightarrow x=-5+7=2\)

b) 128 - 3(x + 4) = 23

\(\Leftrightarrow128-3x-12=23\)

\(\Leftrightarrow-3x=23+12-128\)

\(\Leftrightarrow-3x=-93\)

\(\Leftrightarrow x=31\)

c) x - [42 + (-28)] = -8

\(\Leftrightarrow x-42+28=-8\)

\(\Leftrightarrow x=-8+42-28=6\)

d) (7 - x) - (25 + 7) = -25

\(\Leftrightarrow7-x-25-7=-25\)

\(\Leftrightarrow-x=-25+25+7-7\)

\(\Leftrightarrow x=0\)

Bài 2:

a: -2*(-27)=54

6*9=54

=>Hai phân số này bằng nhau

b: -1/-5=1/5=5/25<>4/25

Bài 3:

a: =>16/x=-4/5

=>x=-20

b: =>(x+7)/15=-2/3

=>x+7=-10

=>x=-17

a) \(\dfrac{-2}{9}\) và \(\dfrac{6}{-27}\)

\(\dfrac{6}{-27}=\dfrac{6:\left(-3\right)}{\left(-27\right):\left(-3\right)}=\dfrac{-2}{9}\)

Vậy \(\dfrac{-2}{9}=\dfrac{6}{-27}\)

b) \(\dfrac{-1}{-5}\) và \(\dfrac{4}{25}\)

\(\dfrac{-1}{-5}=\dfrac{\left(-1\right).\left(-5\right)}{\left(-5\right).\left(-5\right)}=\dfrac{5}{25}\)

Do \(5\ne4\Rightarrow\dfrac{5}{25}\ne\dfrac{4}{25}\)

Vậy \(\dfrac{-1}{-5}\ne\dfrac{4}{25}\)

Bài 3

a) \(\dfrac{-28}{35}=\dfrac{16}{x}\)

\(x=\dfrac{35.16}{-28}\)

\(x=-20\)

b) \(\dfrac{x+7}{15}=\dfrac{-24}{36}\)

\(\left(x+7\right).36=15.\left(-24\right)\)

\(36x+252=-360\)

\(36x=-360-252\)

\(36x=-612\)

\(x=\dfrac{-612}{36}\)

\(x=-17\)