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1)
a) \(\left(-175\right)-123+3+175+\left(-3\right)\)
\(=\left[\left(-175\right)+175\right]+\left[3+\left(-3\right)\right]-123\)
\(=0+0-123\)
\(=-123\)
b) \(17.85+15.17-150\)
\(=17.\left(85+15\right)-150\)
\(=17.100-150\)
\(=1700-150\)
\(=1550\)
c) \(176:\left(4.5^2-3.2^2\right)\)
\(=176:\left(4.25-3.4\right)\)
\(=176:\left(100-12\right)\)
\(=176:88\)
\(=2\)
2)
a) \(8-x=-12\)
\(\Rightarrow x=8-\left(-12\right)\)
\(\Rightarrow x=8+12\)
\(\Rightarrow x=20\)
Vậy \(x=20\)
b) \(20+2^3.x=5^2.4\)
\(\Rightarrow20+8.x=25.4\)
\(\Rightarrow20+8.x=100\)
\(\Rightarrow8.x=100-20\)
\(\Rightarrow8.x=80\)
\(\Rightarrow x=80:8\)
\(\Rightarrow x=10\)
Vậy \(x=10\)
c) \(2\left|x-1\right|+5=15\)
\(\Rightarrow2\left|x-1\right|=15-5\)
\(\Rightarrow2\left|x-1\right|=10\)
\(\Rightarrow\left|x-1\right|=10:2\)
\(\Rightarrow\left|x-1\right|=5\)
Xét trường hợp 1: \(x-1=5\)
\(\Rightarrow x=5+1\)
\(\Rightarrow x=6\)
Xét trường hợp 2: \(x-1=-5\)
\(\Rightarrow x=\left(-5\right)+1\)
\(\Rightarrow x=-5+1\)
\(\Rightarrow x=-\left(5-1\right)\)
\(\Rightarrow x=-4\)
Vậy \(x=6\) hoặc \(x=-4\)
Bài 1:
\(a)\left(-175\right)-123+3+175+\left(-3\right)\)
\(=\left[\left(-175\right)+175\right]+\left[\left(-3+3\right)\right]-123\)
\(=0+0-123\)
\(=-123\)
\(b)17.85+15.17-150\)
\(=17.\left(85+15\right)-150\)
\(=17.100-150=1700-150=1550\)
\(c)176:\left(4.5^2-3.2^2\right)\)
\(=176:\left(4.25-3.4\right)\)
\(=176:\left(100-12\right)=176:88=2\)
Bài 2:
\(a)8-x=-12\)
\(\Rightarrow x=8-\left(-12\right)\)
\(\Rightarrow x=20\)
\(b)20+2^3.x=5^2.4\)
\(\Rightarrow20+8.x=25.4\)
\(\Rightarrow20+8.x=100\)
\(\Rightarrow8.x=100-20\)
\(\Rightarrow8.x=80\)
\(\Rightarrow x=80:8=10\)
\(c)2\left|x-1\right|+5=15\)
\(\Rightarrow2\left|x-1\right|=15-5\)
\(\Rightarrow2\left|x-1\right|=10\)
\(\Rightarrow\left|x-1\right|=10:2\)
\(\Rightarrow\left[{}\begin{matrix}x-1=5\\x-1=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=6\\x=-4\end{matrix}\right.\)
a)13-2(x+1)=7
2.(x+1)=13-7
2.(x+1)=6
x+1=6/2
x+1=3
x=3-1
x=2
a, 13 - 2 ( x + 1 ) = 7
2 .( x + 1 ) = 13 - 7
2 .( x + 1 ) = 6
x + 1 = 6 : 2
x + 1 = 3
x = 3 - 1
x = 4
a, => 3^x.(6+4.3) = 100-72
=> 3^x.18 = 18
=> 3^x = 18:18 = 1
=> 3^x = 3^0
=> x=0
b, => 5^x.(5+4.5) = -12+175-38
=> 5^x.25 = 125
=> 5^x = 125:25 = 5
=> 5^x = 5^1
=> x=1
Tk mk nha
a) \(6\cdot3^x+4\cdot3^{x+1}=100+\left(-72\right)\)
\(\Leftrightarrow6\cdot3^x+4\cdot3^x\cdot3=100-72\)
\(\Leftrightarrow6\cdot3^x+12\cdot3^x=28\)
\(\Leftrightarrow18\cdot3^x=28\Leftrightarrow3^x=\frac{14}{9}\)
Phần a) bn xem lại đề bài nhé!!
b) \(5\cdot5^x+4\cdot5^{x+1}=\left(-12\right)+175+\left(-38\right)\)
\(\Leftrightarrow5^{x+1}+4\cdot5^{x+1}=175-12-38\)
\(\Leftrightarrow5\cdot5^{x+1}=125\Leftrightarrow5^{x+1}=25\)
\(\Leftrightarrow5^{x+1}=5^2\Leftrightarrow x+1=2\Leftrightarrow x=1\)
Vậy x=1
a/ (ghi lại cái đề)
=>+ 3x-7=2
3x=2+7=9
x=3
+ 3x-7=-2
3x=-2+7=5
x=\(\frac{5}{3}\)
b/ (5x-10)2=100
=> +5x-10=10
5x=10+10=20
x=4
+ 5x-10=-10
5x=-10+10=0
x=0
\(\left(d\right)30-x=200-175\)
\(30-x=25\)
\(x=5\)
\(\left(e\right)5\left(x+12\right)=70\)
\(x+12=14\)
\(x=2\)
tương tự 2 câu trên bạn tự làm câu cuối nhé, mình không ghi lại đề đâu
#quankun^^
a. 175 - 5( x + 3 ) = 5
<=> 5(x + 3) = 170
<=> x + 3 = 34
<=> x = 31
b. 4x - 40 = | -4 | + 12
<=> 4x = 4 + 12 + 40
<=> x = 14
c. x + 15 = 20 - 4x
<=> 5x = 5
<=> x = 1
a. 175 - 5( x + 3 ) = 5
5(x + 3 ) = 175 - 5
5( x + 3 ) = 170
x + 3 = 170 : 5
x +3 = 34
x = 34 - 3
x = 31.
Vậy x = 31
b. 4x - 40 = | -4 | + 12
4x - 40 = 4 + 12
4x - 40= 16
4x = 16 + 40
4x = 56
x = 56 : 4
x = 14.
Vậy x = 14
c. x + 15 = 20 - 4x
x + 4x = 20 - 15
5x = 5
x = 5 : 5
x = 1.
Vậy x = 1.
# HOK TỐT #
1) 70 - 5( x - 3 ) = 45
5( x - 3 ) = 70 - 45
5( x - 3 ) = 25
x - 3 = 25 : 5
x - 3 = 5
x = 5 + 3
x = 8
2) 12 + ( 5 + x ) = 20
5 + x = 20 - 12
5 + x = 8
x = 8 - 5
x = 3
3) 130 - ( 100 + x ) = 25
100 + x = 130 - 25
100 + x = 105
x = 105 - 100
x = 5
4) 175 + ( 30 - x ) = 200
30 - x = 200 - 175
30 - x = 25
x = 30 - 25
x = 5
5) 5( x + 12 ) + 22 = 92
5( x + 12 ) = 92 - 22
5( x + 12 ) = 70
x + 12 = 70 : 5
x + 12 = 14
x = 14 - 12
x = 2
6) 95 - 5( x + 2 ) = 45
5( x + 2 ) = 95 - 45
5( x + 2 ) = 50
x + 2 = 50 : 5
x + 2 = 10
x = 10 - 2
x = 8
7) 14x + 54 = 82
14x = 82 - 54
14x = 28
x = 28 : 14
x = 2
8) 15x - 133 = 17
15x = 17 + 133
15x = 150
x = 150 : 15
x = 10
9) 155 - 10( x + 1 ) = 55
10( x + 1 ) = 155 - 55
10( x + 1 ) = 100
x + 1 = 100 : 10
x + 1 = 10
x = 10 - 1
x = 9