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a , 32 - | x - 1 | = 18
| x - 1 | = 32 - 18
| x - 1 | = 14
\(x-1=\hept{\begin{cases}14\\-14\end{cases}}\)
\(x=\hept{\begin{cases}14+1\\-14+1\end{cases}}\)
\(x=\hept{\begin{cases}15\\-13\end{cases}}\)
b, 34 - | x + 2 | = 22
| x + 2 | = 34 - 22 = 12
\(x+2=\hept{\begin{cases}12\\-12\end{cases}}\)
\(x=\hept{\begin{cases}12-2\\-12-2\end{cases}}\)
\(x=\hept{\begin{cases}10\\-14\end{cases}}\)
c , 28 - | x + 3 | = 15
| x + 3 | = 28 - 15 = 13
\(x+3=\hept{\begin{cases}13\\-13\end{cases}}\)
\(x=\hept{\begin{cases}13-3\\-13-3\end{cases}}\)
\(x=\hept{\begin{cases}10\\-16\end{cases}}\)
d , 47 - | x - 12 | = 32
| x - 12 | = 47 - 32 = 15
\(x-12=\hept{\begin{cases}15\\-15\end{cases}}\)
\(x=\hept{\begin{cases}15+12\\-15+12\end{cases}}\)
\(x=\hept{\begin{cases}27\\-3\end{cases}}\)
a) 2²(6x - 3²) - 3 = 33
4(6x - 9) = 33 + 3
4(6x - 9) = 36
6x - 9 = 36 : 4
6x - 9 = 9
6x = 9 + 9
6x = 18
x = 18 : 6
x = 3
b) 4(x + 2) = 3(x + 1) + 17
4x + 8 = 3x + 3 + 17
4x - 3x = 3 + 17 - 8
x = 12
Bài 1
S₂ = 21 + 23 + 25 + ... + 1001
Số số hạng của S₂:
(1001 - 21) : 2 + 1 = 491
⇒ S₂ = (1001 + 21) . 491 : 2 = 250901
--------
S₄ = 15 + 25 + 35 + ... + 115
Số số hạng của S₄:
(115 - 15) : 10 + 1 = 11
⇒ S₄ = (115 + 15) . 11 : 2 = 715
Bài 2
a) 2x - 138 = 2³.3²
2x - 138 = 8.9
2x - 138 = 72
2x = 72 + 138
2x = 210
x = 210 : 2
x = 105
b) 5.(x + 35) = 515
x + 35 = 515 : 5
x + 35 = 103
x = 103 - 35
x = 78
c) 814 - (x - 305) = 712
x - 305 = 814 - 712
x - 305 = 102
x = 102 + 305
x = 407
d) 20 - [7.(x - 3) + 4] = 2
7(x - 3) + 4 = 20 - 2
7(x - 3) + 4 = 18
7(x - 3) = 18 - 4
7(x - 3) = 14
x - 3 = 14 : 7
x - 3 = 2
x = 2 + 3
x = 5
e) 9ˣ⁻¹ = 9
x - 1 = 1
x = 1 + 1
x = 2
2^2.(x+3^2)-5=55
4.(x+9)=55+5=60
(x+9)=60:4=15
x=15-9=6
vậy x=6
a; \(\dfrac{93}{17}\): \(x\) + (- \(\dfrac{21}{17}\)) : \(x\) + \(\dfrac{22}{7}\): \(\dfrac{22}{3}\) = \(\dfrac{5}{14}\)
\(\dfrac{94}{17}\) \(\times\) \(\dfrac{1}{x}\) - \(\dfrac{21}{17}\) \(\times\) \(\dfrac{1}{x}\) + \(\dfrac{3}{7}\) = \(\dfrac{5}{14}\)
\(\dfrac{72}{17}\) \(\times\) \(\dfrac{1}{x}\) + \(\dfrac{3}{7}\) = \(\dfrac{5}{14}\)
\(\dfrac{72}{17x}\) = \(\dfrac{5}{14}\) - \(\dfrac{3}{7}\)
\(\dfrac{72}{17x}\) = - \(\dfrac{1}{14}\)
17\(x\) = 72.(-14)
17\(x\) = - 1008
\(x\) = - 1008 : 17
\(x\) = - \(\dfrac{1008}{17}\)
Vậy \(x\) \(=-\dfrac{1008}{17}\)
b; - \(\dfrac{32}{27}\) - (3\(x\) - \(\dfrac{7}{9}\))3 = - \(\dfrac{24}{27}\)
- \(\dfrac{32}{27}\) + \(\dfrac{24}{27}\) = (3\(x\) - \(\dfrac{7}{9}\))3
(3\(x-\dfrac{7}{9}\))3 = - \(\dfrac{8}{27}\)
(3\(x-\dfrac{7}{9}\))3 = (- \(\dfrac{2}{3}\))3
3\(x-\dfrac{7}{9}\) = - \(\dfrac{2}{3}\)
3\(x\) = - \(\dfrac{2}{3}\) + \(\dfrac{7}{9}\)
3\(x\) = \(\dfrac{1}{9}\)
\(x\) = \(\dfrac{1}{9}\) : 3
\(x\) = \(\dfrac{1}{27}\)
Vậy \(x=\dfrac{1}{27}\)
\(22.\left(x+32\right)-5=55.179^0\\ 22.\left(x+32\right)-5=55.1\\ 22.\left(x+32\right)-5=55\\ 22.\left(x+32\right)=55+5\\ 22.\left(x+32\right)=60\\ x+32=60:22\\ x+32=\dfrac{30}{11}\\ x=\dfrac{30}{11}-32\\ x=\dfrac{-322}{11}\)
\(22.\left(x+32\right)-5=55.179^0\)
=>22.(x+32)-5=55.1
=>22.(x+32)-5=55
=>22.(x+32)=55+5
=>22.(x+32)=60
=>x+32=60:22
=>x+32=\(\dfrac{30}{11}\)
=>x=\(\dfrac{30}{11}-32\)
\(=>x=-\dfrac{322}{11}\)
Vậy............
\(\rightarrow\)\(x-4-9=2\)
\(\rightarrow\)\(x-13=2\)
\(\rightarrow\)\(x=2+13\)
\(\rightarrow\)\(15\)
x-4-9=2
x=2+9+4
x=15