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Bài làm :
\(a,\left(7x-7\right)\left(x-3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}7x-7=0\\x-3=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\x=3\end{cases}}\)
Vậy x = 1 hoặc x = 3 .
\(b,108-18x=54\)
\(18x=108-54\)
\(18x=54\)
\(x=54:18\)
\(x=3\)
\(c,35.\left(x-10\right)=35\)
\(x-10=35:35\)
\(x-10=1\)
\(x=1+10\)
\(x=11\)
\(d,3x+5x=40\)
\(\left(3+5\right)x=40\)
\(8x=40\)
\(x=40:8\)
\(x=5\)
Học tốt
a. ( 7x - 7 ) ( x - 3 ) = 0
<=>\(\orbr{\begin{cases}7x-7=0\\x-3=0\end{cases}}\)<=>\(\orbr{\begin{cases}x=1\\x=3\end{cases}}\)
b. 108 - 18x = 54
=> 18x = 54
=> x = 3
c. 35 ( x - 10 ) = 35
=> x - 10 = 1
=> x = 11
d. 3x + 5x = 40
=> 8x = 40
=> x = 5
A, 7[x + 5] - 20 = 190
7x + 35 - 20 = 190
7x + 15 = 190
7x = 175
x = 25
B, 155 - 10[x + 1] = 55
155 - 10x - 10 = 55
-10x + 90 = 55
-10x = -35
x = 3.5
C, 6[x + 2^3] + 40 = 100
6[x + 8] + 40 = 100
6x + 48 + 40 = 100
6x + 88 = 100
6x = 1
2 x = 2
D, 15x - 133 = 17
15x = 150
x = 10
E, 90[x + 2] = 45
90x + 180 = 45
90x = -135
x = -1.5
F, 4x + 54 = 82
4x = 28
x = 7
G, 17x - 20 = 14
17x = 34
x = 2
a) \(125^5=\left(5^3\right)^5=5^{3\cdot5}=5^{15}\)
\(25^7=\left(5^2\right)^7=5^{2\cdot7}=5^{14}\)
\(5^{15}>5^{14}\Rightarrow125^5>25^7\)
b) \(3^{54}=\left(3^2\right)^{27}\)
\(2^{81}=\left(2^3\right)^{27}\)
\(3^2>2^3\Rightarrow3^{54}>2^{81}\)
d)
5^40 = ( 5^4)^10 = 625^10
mà 625^10 > 620^10 => 5^40 > 620^10
vậy ............
c)
10^30 = (10^3)^10 = 1000^10
2^100 = (2^10)^10 = 1024^10
mà 1000^10 < 1024^10 => 10^30 < 2^100
k mik nha!
a: \(\dfrac{5}{7}=\dfrac{5\cdot11}{7\cdot11}=\dfrac{55}{77}\)
\(\dfrac{9}{11}=\dfrac{9\cdot7}{11\cdot7}=\dfrac{63}{77}\)
b: \(\dfrac{36}{42}=\dfrac{6}{7}=\dfrac{6\cdot9}{7\cdot9}=\dfrac{54}{63}\)
\(-\dfrac{12}{54}=\dfrac{-2}{9}=\dfrac{-2\cdot7}{9\cdot7}=-\dfrac{14}{63}\)
c: \(\dfrac{-11}{30}=\dfrac{-11\cdot4}{30\cdot4}=\dfrac{-44}{120}\)
\(\dfrac{-17}{-40}=\dfrac{17}{40}=\dfrac{17\cdot3}{40\cdot3}=\dfrac{51}{120}\)
d: \(\dfrac{36}{42}=\dfrac{6}{7}=\dfrac{6\cdot3}{7\cdot3}=\dfrac{18}{21}\)
\(\dfrac{-12}{36}=\dfrac{-1}{3}=\dfrac{-1\cdot7}{3\cdot7}=\dfrac{-7}{21}\)
\(54.\left(40-7\right)-40.\left(54-7\right)\)
\(=54.33-40.\left(54-7\right)\)
\(=54.33-40.47\)
\(=1782-40.47\)
\(=1782-1880\)
\(=-98\)
= 54 . 40 - 54 . 7 - 40 . 54 - 40 . 7
= 54 . 40 - 40 . 54 - (54 . 7 - 40 . 7)
= 0 - [7 .(54-40)
= 0 - (7.14)
= 0 - 98
= -98
ht