3​.x + 2.x + x = 300​

​x.(3+2+1) = 300

​x.6 = 300

​x=300 : 6

​x = 50

3.x+2.x+x=300

x.(3+2)=300

x.5=300

x=300:5

x=60

Vậy x=60

x.(3+2)+x=300

x.5+x=300

2x.5=300

x=300:5

x=60

x=60:2

x=30

(1+1/2)+(1+1/3).(1+1/4) ... (1+1/99)=3/2.4/3.5/4....100/99

(3.4.5.....100)/(2.3....99)=100/2=50

Đề bài phải là (1+1/2)nhân với 1+1/3

\(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+.......+\dfrac{1}{x\cdot\left(x+1\right)}=\dfrac{122}{123}\)

\(\Leftrightarrow1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+......+\dfrac{1}{x}-\dfrac{1}{x+1}=\dfrac{122}{123}\)

\(\Leftrightarrow1-\dfrac{1}{x+1}=\dfrac{122}{123}\)

\(\Leftrightarrow\dfrac{1}{x+1}=\dfrac{1}{123}\)

\(\Leftrightarrow x=122\)

giúp mình với ^.^

Bài 1:

a) 8² . 2² = 64 . 4 = 256

b) 2⁵. 4 = 2⁵. 2²= 2⁵⁺² = 2⁷

c) 9⁴. 243 = 9⁴. 3⁵=(3²)⁴.3⁵=3⁸.3⁵=3⁸⁺⁵=3¹³

Bài 1 :

\(a.8^2.2^2=\left(8.2\right)^2=16^2\)

\(b.2^5.4=2^5.2^2=2^7\)

\(c.9^4.243=\left(3^2\right)^4.3^5=3^8.3^5=3^{13}\)

Bài 2:

a. ( đề sai =.= )

\(b.12.\left(x-1\right):3=43+2^3\)

\(\Leftrightarrow12.\left(x-1\right)=43+2^3.3\)

\(\Leftrightarrow12.\left(x-1\right)=67\)

\(\Leftrightarrow x-1=\frac{67}{12}\)

\(\Leftrightarrow x=\frac{79}{12}\)

a) \(215+x=400\)

\(\Rightarrow x=400-215\)

\(\Rightarrow x=185\)

b) \(12,5-2x=\dfrac{1}{5}\)

\(\Rightarrow2x=12,5-\dfrac{1}{5}\)

\(\Rightarrow2x=\dfrac{123}{10}\)

\(\Rightarrow x=\dfrac{123}{10}:2\)

\(\Rightarrow x=\dfrac{123}{20}\)

còn câu c d nhanh cậu ơi

Bạn xem lại đề phần e nha .

\(c)x.0,25-\dfrac{3}{25}:x=2\dfrac{1}{4}\)

\(x.0,25-\dfrac{25}{3}.x=\dfrac{9}{4}\)

\(x.\left(0,25-\dfrac{25}{3}\right)=\dfrac{9}{4}\)

\(x.\dfrac{-97}{12}=\dfrac{9}{4}\)

\(x=\dfrac{-27}{97}\)

\(d)\left(x-\dfrac{1}{3}\right).\left(x-\dfrac{1}{4}\right)=0\)

Do : 2 số đó nhân với nhau bằng 0 nên một trong 2 số là số 0.

Do đó :

\(Th1:x-\dfrac{1}{3}=0\)

\(x=\dfrac{1}{3}\)

\(Th2:x-\dfrac{1}{4}=0\)

\(x=\dfrac{1}{4}\)

a)(x-5):5+22=24

    (x-5):5=2

    (x-5)=10

    x=15

b)42-(2x+32)+12:2=6

   42-(2x+32)+6=6

   42-(2x+32)=0

         (2x+32)=42

          2x=10

         x=5

a, (x-5):5+22=24                                    b, 42-(2x+32)+12:2=6

(x-5):5=2                                                42-(2x+32)=0

x-5=10                                                   2x+32=42

x=15                                                      x=5

d, (2x+35)-60=121                   câu c không có vế để tính

  2x+35=181

  2x=146

  x=73

5+2.x=1055

Ta có:

\(\frac{2}{3}-\frac{1}{3}.\left(x-\frac{3}{2}\right)-\frac{1}{2}.\left(2x+1\right)=5\)

\(\Rightarrow\frac{2}{3}-\frac{1}{3}x+\frac{1}{3}.\frac{3}{2}-x-\frac{1}{2}=5\)

\(\Rightarrow\frac{2}{3}-\left(\frac{1}{3}x+x\right)+\frac{1}{2}-\frac{1}{2}=5\)

\(\Rightarrow\frac{4}{3}x=\frac{2}{3}-5=-\frac{13}{3}\)

\(\Rightarrow x=-\frac{13}{3}:\frac{4}{3}=-\frac{13}{3}.\frac{3}{4}=-\frac{13}{4}\)

Vậy x=-13/4

ta có x.1=21(vì 2017:2017=1 nên triệt  tiêu)

        x    =21:1=21

\(\frac{2017}{2017\cdot\left(x\cdot1\right)}=21\)

\(\Leftrightarrow\frac{1}{x}=21\)

\(\Leftrightarrow x=\frac{1}{21}\)

\(\frac{2017}{2017.\left(x.1\right)}=21\)

\(\frac{1}{x}=21\)

\(x=\frac{1}{21}\)