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a. 49 - 37 + 10 = 12 + 10 = 22
b. 57 . 49 + 57 . 51 - 120 = 57 . ( 49 + 51 ) -120 = 57 . 100 -120 = 5700 - 120 = 5580
c. 1250 - 11 . [ 37 . (2.32 -15)2 ] =1250 - 11 .[ 37. 32 ] = 1250 - 11 . 333 = 1250 - 3663 = -2413
2x + 17 = 3 3
2x + 17 = 27
2x = 27 - 17
2x = 10
x = 10 : 2
x = 5
4 . (x - 23 ) = 12
x - 23 = 12 : 4
x - 23 = 3
x = 23 - 3
x = 20
1. a) 17.85 + 15.17 - 120
= 17.( 85 + 15) - 120
= 17. 100 -120
= 1700 - 120
= 1580
b) 20 - [ 30 - (5 - 1)2 ]
= 20 - [ 30 - 42 ]
= 20 - [ 30 - 16 ]
= 20 - 14
= 6
2. a) 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
b) 10 + 2.x = 45 : 43
10 + 2.x = 42
10 + 2.x = 16
2.x = 16 - 10
2.x = 6
x = 6 : 2
x =3
1)a:17.85+15.17-120=17.(85+15)-120=17.100-120=1700-120=1580
b: 20-[30-(5-1)^2 = 20-[30-4^2]=20-(30-16)=20-15=5
2)
a: 70-5(x-3)=45
5(x-3) = 70-45=25
x-3 = 25:5=5
x= 5+3=8
b: 10+2x = 4^5:4^3
10+2x = 4^2
10+2x = 16
2x = 16-10=6
x = 6:2=3
72 x 5-(2x+1)=630:9
<=> 49 x 5-2x-1=70
<=> 245-2x-1=70
<=> -2x+244=70
<=> -2x=-174
<=> x=87
tìm x biết:
a, 72.5-(2x+1)=630:9
49.5-(2x+1)=70
245-(2x+1)=70
2x+1=245-70
2x+1=175
2x=175-1
2x=174
x=174:2
x=87
Vậy x=87
b, (10-4x)+120:23=17
(10-4x)+120:8=17
(10-4x)+15=17
10-4x=17-15
10-4x=2
4x=10-2
4x=8
x=8:4
x=2
Vậy x=2
a) 72,5 - (2x + 1) = 630 : 9
⇒ 72,5 - (2x + 1) = 70
⇒ 2x + 1 = 2,5
⇒ 2x = 1,5
⇒ x = 0,75
b) (10 - 4x) + 120 : 23 = 17
⇒ (10 - 4x) + 120 : 8 = 17
⇒ (10 - 4x) + 15 = 17
⇒ 10 - 4x = 2
⇒ 4x = 8
⇒ x = 2
Vậy x = 2
a) \(x^{20}=x\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
b) \(x^6:x^3=125\)
\(\Leftrightarrow x^{6-3}=125\)
\(\Leftrightarrow x^3=125\)
\(\Leftrightarrow x^3=5^3\)
\(\Leftrightarrow x=5\)
c) \(4x^3+12=120\)
\(\Leftrightarrow4x^3=120-12\)
\(\Leftrightarrow4x^3=108\)
\(\Leftrightarrow x^3=27\)
\(\Leftrightarrow x^3=3^3\)
\(\Leftrightarrow x=3\)
d) \(x^{10}=x^1\)
\(\Leftrightarrow x^{10}=x\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=0\end{cases}}\)
e) \(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Leftrightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\Leftrightarrow\left(2x-15\right)^3\left[\left(2x-15\right)^2-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x-15=0\\\orbr{\begin{cases}2x-15=1\\2x-15=-1\end{cases}}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{15}{2}\\\orbr{\begin{cases}x=8\\x=-7\end{cases}}\end{cases}}\)\(\Rightarrow2x-15=0\)hoặc \(2x-15=1\) hoặc \(2x-15=-1\)
\(\Rightarrow x=\frac{15}{2}\)hoặc \(x=8\)hoặc \(x=7\)
a; -2\(x\) - 3.(\(x-17\)) = 34 - 2.( - \(x\) + 25)
- 2\(x\) - 3\(x\) + 51 = 34 + 2\(x\) - 50
2\(x\) + 2\(x\) + 3\(x\) = - 34 + 50 + 51
7\(x\) = 67
\(x\) = 67 : 7
\(x\) = \(\dfrac{67}{7}\)
Vậy \(x\) = \(\dfrac{67}{7}\)
b; 17\(x\) + 3.(- 16\(x\) - 37) = 2\(x\) + 43 - 4\(x\)
17\(x\) - 48\(x\) - 111 = 2\(x\) - 4\(x\) + 43
- 31\(x\) - 2\(x\) + 4\(x\) = 111 + 43
- \(x\) x (31 + 2 - 4) = 154
- \(x\) x (33 - 4) = 154
- \(x\) x 29 = 154
- \(x\) = 154 : (-29)
\(x\) = - \(\dfrac{154}{29}\)
Vậy \(x=-\dfrac{154}{29}\)
a. 1440 : [ 120 - (3x + 9 ) ] = 120
120 - (3x + 9) = 1440 : 120 = 12
3x + 9 = 120 - 12 = 108
3x = 108 - 9 = 99
x = 99 : 3 = 33
b. 120 + [ ( 999 - 9x ) : 60 ] . 24 = 480
[ ( 999 - 9x ) : 60 ] . 24 = 480 - 120 = 360
( 999 - 9x ) : 60 = 360 : 24 = 15
( 999 - 9x ) = 15 . 60 = 900
9x = 999 - 900 = 99
x = 99 : 9 = 11
a) 2/15-x = 3/10
<=> 45 - 3x = 20
<=> 3x = 45 - 20
<=> 3x = 25
<=> x = 25 : 3
<=> x = 25/3
Vậy x = 25/3
b) ( 10 - 4x ) + 120/23 = 17
<=> ( 10 - 4x ) + 120/8 = 17
<=> ( 10 - 4x ) + 15 = 17
<=> 10 - 4x = 17 - 15
<=> 10 - 4x = 2
<=> 4x = 10 - 2
<=> 4x = 8
<=> x = 8 : 4
<=> x = 2
Vậy x = 2