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a) 3x = 32 . 33
3x = 35
=> x = 5
b)5x =125 .25
5x = 53 . 52
5x = 55
=> x = 5
c) 8 =2x
23 = 2x
=> x = 3
d) x = 4
e)x = 3
f)x = 4
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sai r ban oi
( 1!x1 + 2!x2 + .... +19! x 19)= (2-1) x 1! + (3 - 1) x 2! + ...+ (20-1) x 19!
= 2! - 1! + 3! - 2! + ... + 20!- 19!
=-1! + 20!
21!-21= 20! x 21 - 21
=(20! - 1 )x 21
=> (20!-1) x21
20! - 1
=21
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(x + 1) + (x + 2) + (x + 3) +...+ (x + 100) = 5750
x + 1 + x + 2+ x + 3 + ... + x + 100 = 5750
(x + x + x + ... + x) + (1 + 2 + 3 + ... + 100) = 5750
100x + \(\frac{100.101}{2}\)= 5750
100x + 5050 = 5750
100x = 5750 - 5050
100x = 700 <=> x = 7
Vậy x = 7
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a) \(3^{x-1}+3x+3^{x+1}=1053\)
\(=3^x:3+3^x+3^x.3=1053\)
\(=3^x.\dfrac{1}{3}+1+3=1053\)
\(=3^x.\dfrac{13}{5}=1053\)
\(=3^x=243\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
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B NHA , BN CHỈ CẦN THAY X VÀO BIỂU THỨC LÀ BN SẼ RA KẾT QUẢ = -9 MÌNH LÀM RỒI ,TRONG SÁCH TOÁN 6 PHẢI KO
cach lam:
[(-1) - 2] . [(-1) = 4
=[-(1+2)] . ( 4-1 )
= ( -3 ) . 3=-9
D/S:B -9
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
a) Ta có: \(x\left(x^2-4\right)=0\)
\(\Leftrightarrow x\left(x-2\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-2=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)
Vậy: \(x\in\left\{0;2;-2\right\}\)
b) Ta có: \(\left(2x-3\right)+\left(-3x\right)-\left(x-5\right)=40\)
\(\Leftrightarrow2x-3-3x-x+5=40\)
\(\Leftrightarrow-2x+2=40\)
\(\Leftrightarrow-2x=38\)
hay x=-19
Vậy: x=-19
Bài 2:
a) Ta có: \(-45\cdot12+34\cdot\left(-45\right)-45\cdot54\)
\(=-45\cdot\left(12+34+54\right)\)
\(=-45\cdot100\)
\(=-4500\)
b) Ta có: \(43\cdot\left(57-33\right)+33\cdot\left(43-57\right)\)
\(=43\cdot57-43\cdot33+43\cdot33-33\cdot57\)
\(=43\cdot57-33\cdot57\)
\(=57\cdot\left(43-33\right)\)
\(=57\cdot10=570\)
\(\frac{1}{2}\). x + \(\frac{3}{5}\). (x-2) = 3
1/2 . x + 3/5 .x - 3/5.2=3
x.(1/2+3/5)-6/5=3
x.11/6 = 3 + 6/5
x.11/6 = 21/5
x = 21/5 : 11/6
x = \(\frac{126}{55}\)