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Câu 2:
a.
1.
\(\left(2x+1\right)^2=16\)
\(\left(2x+1\right)^2=\left(\pm4\right)^2\)
\(2x+1=\pm4\)
TH1:
\(2x+1=4\)
\(2x=4-1\)
\(2x=3\)
\(x=\frac{3}{2}\)
TH2:
\(2x+1=-4\)
\(2x=-4-1\)
\(2x=-5\)
\(x=-\frac{5}{2}\)
Vẫy \(x=\frac{3}{2}\) hoặc \(x=-\frac{5}{2}\)
2.
\(\frac{x-12}{4}=\frac{1}{2}\)
\(\left(x-12\right)\times2=1\times4\)
\(2x-24=4\)
\(2x=4+24\)
\(2x=28\)
\(x=\frac{28}{2}\)
\(x=14\)
Câu 2: a) Tìm x
1. \(\left(2x+1\right)^2=16\)
\(\left(2x+1\right)^2=4^2\)
2x + 1 = 4
2x = 4 - 1
2x = 3
x = \(\frac{3}{2}\)
2. \(\frac{x-12}{4}=\frac{1}{2}\)
\(x-12=\frac{1.4}{2}\)
x - 12 = 2
x = 14
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a) (x.7 + 8) : 5 = 10
x.7 + 8 = 10.5
x.7 + 8 = 50
x.7 = 50 - 8
x.7 = 42
x = 42 : 7
x = 6
b) (x + 5).19 : 13 = 57
(x + 5).19 = 57 . 13
(x + 5).19 = 741
x + 5 = 741 : 19
x + 5 = 39
x = 39 - 5
x = 34
c) 4.(36 - 4.x) = 64
36 - 4x = 64 : 4
36 - 4x = 16
4x = 36 - 16
4x = 20
x = 20 : 4
x = 5
d) 7,6 : 19 . x = 3,2
0,4 . x = 3,2
x = 3,2 : 0,4
x = 8
e) (x : 2 + 50) : 5 = 12
x : 2 + 50 = 12 . 5
x : 2 + 50 = 60
x : 2 = 60 - 50
x : 2 = 10
x = 10 . 2
x = 20
g) 280 : (17 + 3.x) = 4
17 + 3x = 280 : 4
17 + 3x = 70
3x = 70 - 17
3x = 53
x = 53/3
h) 6.(28 - 8.x) = 72
28 - 8x = 72 : 6
28 - 8x = 12
8x = 28 - 12
8x = 16
x = 16 : 8
x = 2
i) (x - 15) : 3 : 12 = 6
(x - 15) : 3 = 6 . 12
(x - 15) : 3 = 72
x - 15 = 72 . 3
x - 15 = 216
x = 216 + 15
x = 231
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a, 410. 230=220.230=250
b,925.274.813= 350.312.312=374
Tương tự các câu khác....
a, 410.230 = (22)10.230 = 220.230 = 250
b, 925.274.813 = (32)25.(33)4.(34)3 = 350.312.312 = 374
c, 2550.1255 = (52)50.(53)5 = 5100.515 = 5115
d, 643.48.164 = (26)3.(22)8.(24)4 = 218.216.216 = 250
e, 38 : 36 = 32
210 : 83 = 210 : (23)3 = 210 : 29 = 2
127 : 67 = (12 : 6)7 = 27
@Dương Tuyết Mai
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a. 2.3x = 10 . 312 + 8 . 274
2.3x = 10 . 312 + 8 . ( 33 )4
2.3x = 10 . 312 + 8 . 312
2.3x = 312 . ( 10 + 8 ) = 312 . 18
3x = 312 . 9
3x = 312 . 32
3x = 314 => x = 14
b. 64 . 4x = 45
43 . 4x = 45
43+x = 45
3 + x =5
x = 5 - 3 = 2
c. 2x = 4 . 128
2x = 22 . 27
2x = 29 => x = 9
d. Mik 0 bik làm do đề khó hiểu quá nhé!!! :))
e. ( x5 )10 = x
x50 = x
x50 - x = 0 => x . x49 - x = 0
x . ( x49 - 1 ) = 0
=> x = 0 hoặc x49 - 1 = 0
=> x = 0 hoặc x49 = 1 = 149
=> x = 0 hoặc x = 1
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1, Tìm x :
a, \(x^7.x^5=3^{12}\)
\(\Rightarrow x^{12}=3^{12}\)
\(\Rightarrow x=3\)
Vậy x = 3
b, \(\left(x+1\right)^4=5^8\div25^4\)
\(\left(x+1\right)^4=5^8\div\left(5^2\right)^4\)
\(\left(x+1\right)^4=5^8\div5^8\)
\(\left(x+1\right)^4=1\)
\(\Rightarrow x\in\left\{0;1\right\}\)
Vậy \(x\in\left\{0;1\right\}\)
c, \(x^6=x\)
\(\Rightarrow x^6-x=0\)
\(\Rightarrow x.x^5-x.1=0\)
\(\Rightarrow x\left(x^5-1\right)=0\)
x = 0 hoặc x5 - 1 = 0
x = 0 hoặc x5= 1
x = 0 hoặc x5 = 1
\(\Rightarrow x\in\left\{0;1\right\}\)
Vậy \(x\in\left\{0;1\right\}\)
2, Tính :
\(\left(4^{20}+4^{15}\right)\div\left(4^{10}+4^5\right)\)
\(=4^{15}.\left(4^5+1\right)\div4^5.\left(4^5+1\right)\)
\(=4^{15}\div4^5\)
\(=4^{10}\)
Vậy giá trị biểu thức trên bằng 410
\(A=2^0+2^1+2^2+...+2^{2016}\)
\(2A=2+2^2+2^3+...+2^{2017}\)
\(2A-A=\left(2+2^2+2^3+...+2^{2017}\right)-\left(2^0+2^1+2^2+...+2^{2016}\right)\)
\(\Rightarrow A=2^{2017}-1\)
Vậy : \(A=2^{2017}-1\)
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a) 2^7 . 9^3 / 6^5 . 8^2
= 2^7 . 3^9 / 2^5 . 3^5 . 2^6
= 2^-4 . 3^4
TL
x=63 ( Mik lm đc câu 2 thui )
HT
ủa ko lẽ câu 1 là
SSH: \(\frac{64-2}{2}+1=32\)
Tổng: \(\frac{\left(64+2\right).32}{2}=1024\)đúng ko? vì ko có đề bài nên ko ko hiểu