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Bài 10:
a: 2x-3 là bội của x+1
=>\(2x-3⋮x+1\)
=>\(2x+2-5⋮x+1\)
=>\(-5⋮x+1\)
=>\(x+1\in\left\{1;-1;5;-5\right\}\)
=>\(x\in\left\{0;-2;4;-6\right\}\)
b: x-2 là ước của 3x-2
=>\(3x-2⋮x-2\)
=>\(3x-6+4⋮x-2\)
=>\(4⋮x-2\)
=>\(x-2\inƯ\left(4\right)\)
=>\(x-2\in\left\{1;-1;2;-2;4;-4\right\}\)
=>\(x\in\left\{3;1;4;0;6;-2\right\}\)
Bài 14:
a: \(4n-5⋮2n-1\)
=>\(4n-2-3⋮2n-1\)
=>\(-3⋮2n-1\)
=>\(2n-1\inƯ\left(-3\right)\)
=>\(2n-1\in\left\{1;-1;3;-3\right\}\)
=>\(2n\in\left\{2;0;4;-2\right\}\)
=>\(n\in\left\{1;0;2;-1\right\}\)
mà n>=0
nên \(n\in\left\{1;0;2\right\}\)
b: \(n^2+3n+1⋮n+1\)
=>\(n^2+n+2n+2-1⋮n+1\)
=>\(n\left(n+1\right)+2\left(n+1\right)-1⋮n+1\)
=>\(-1⋮n+1\)
=>\(n+1\in\left\{1;-1\right\}\)
=>\(n\in\left\{0;-2\right\}\)
mà n là số tự nhiên
nên n=0
\(a,\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x-5< 0\\x+2>0\end{matrix}\right.\\\left\{{}\begin{matrix}x-5>0\\x+2< 0\end{matrix}\right.\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x< 5\\x>-2\end{matrix}\right.\\\left\{{}\begin{matrix}x>5\\x< -2\end{matrix}\right.\end{matrix}\right.\Rightarrow-2< x< 5\\ \Rightarrow x\in\left\{-1;0;1;2;3;4\right\}\\ b,\Rightarrow5< x^2< 14\\ \Rightarrow x^2=9\Rightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)
a ) x = 19 20 x = 19 20 b ) x = 83 12 x = − 37 12
c ) x = 31 12 x = − 25 12 d ) x = 13 4 x = − 7 12
a) 450 : ( 50 - 7x ) = 30
=> 50 - 7x = 15
=> 7x = 35
=> x =5
Vậy x=5
b) 14x - 2x = 120
=> x ( 14 - 2 ) = 120
=> x . 12 = 120
=> x =10
Vậy x = 10
c) x.13 - x.10 = 240
=> x ( 13 - 10 ) = 240
=> x. 3 = 240
=> x = 80
Vậy x = 80
d) 28x - 17x - x = 250
=> x( 28 - 17 - 1 ) = 250
=> x. 10 = 250
=> x = 25
Vậy x = 25
e) 34x - 14x = 200
=> x ( 34 - 14 ) = 200
=> x.20 = 200
=> x = 10
Vậy x = 10
f) 280 - x.9 - x =80
=> x.9 - x = 200
=> x ( 9 -1 ) = 200
=> x.8 = 200
=> x = 25
Vậy x = 25
a) 450 : (50-7.x) = 30
Ta có: 50-7.x = y
=> 450 : y = 30
y = 15
=> 50-7. x= 15
7x = 35
x= 5
vậy x = 5
(bạn ơi câu này mình trả lời đúng nhưng cách làm thì hơi khác 1 tí)
b) x.14 - x.2 = 120
x . (14-2) = 120
x . 12 = 120
x = 120 : 12
x = 10
Vậy x= 10
c) x.13 - x.10 = 240
x . (13-10) = 240
x . 3 = 240
x = 80
Vậy x = 80
d) 28.x - x.17-x = 250
28.x - x.17 - x.1 = 250
=> x. (28-17-1) = 250
x. 10 = 250
x = 25
Vậy x=25
e) x.34-x.14 = 200
x. ( 34-14) = 200
x. 20 = 200
x = 10
vậy x = 10
f) 280 - x.9 - x = 80
280 - x.9 - x.1 = 80
280 - x.( 9-1) = 80
280 - x.8 = 80
x.8 = 200
x = 25
vậy x = 25
a) \(4x+4=16\)
\(4x=12\)
\(x=3\)
b) \(34\left(2x-6\right)=0\)
\(2x=6\)
\(x=3\)
c) \(15:x=5\)
\(x=15:5=3\)
d) \(20-\left(x+14\right)=5\)
\(x+14=20-5=15\)
\(x=15-14=1\)
a) \(4x+4=16\)
\(\Rightarrow4x=16-4\)
\(\Rightarrow4x=12\)
\(\Rightarrow x=\dfrac{12}{4}\)
\(\Rightarrow x=3\)
b) \(34\cdot\left(2x-6\right)=0\)
\(\Rightarrow2x-6=\dfrac{0}{36}\)
\(\Rightarrow2x-6=0\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=\dfrac{6}{2}\)
\(\Rightarrow x=3\)
c) \(15:x=5\)
\(\Rightarrow x=15:5\)
\(\Rightarrow x=3\)
d) \(20-\left(x+14\right)=5\)
\(\Rightarrow x+14=20-5\)
\(\Rightarrow x+14=15\)
\(\Rightarrow x=15-14\)
\(\Rightarrow x=1\)
2,
a) \(315-\left(135-x\right)=215\)
\(\Rightarrow135-x=315-215\)
\(\Rightarrow135-x=100\)
\(\Rightarrow x=135-100\)
\(\Rightarrow x=35\)
b) \(x-320:32=25\cdot16\)
\(\Rightarrow x-10=5^2\cdot4^2\)
\(\Rightarrow x-10=20^2\)
\(\Rightarrow x-10=400\)
\(\Rightarrow x=410\)
c) \(3\cdot x-2018:2=23\)
\(=3\cdot x-1009=23\)
\(\Rightarrow3\cdot x=1032\)
\(\Rightarrow x=1032:3\)
\(\Rightarrow x=344\)
d) \(280-9\cdot x-x=80\)
\(\Rightarrow280-x\cdot\left(9+1\right)=80\)
\(\Rightarrow280-10\cdot x=80\)
\(\Rightarrow10\cdot x=280-80\)
\(\Rightarrow10\cdot x=200\)
\(\Rightarrow x=20\)
e) \(38\cdot x-12\cdot x-x\cdot16=40\)
\(\Rightarrow x\cdot\left(38-12-16\right)=40\)
\(\Rightarrow x\cdot10=40\)
\(\Rightarrow x=40:10\)
\(\Rightarrow x=4\)
1a) 25 .8 - 12.5 + 272 :17 - 8
= 200 - 60 + 16 - 8
= 140+16-8
= 156 - 8
= 148
b) 125: 25 +14 - 142 : 71
= 5 + 14 - 2
= 19 - 2 = 17
c) 13. 17 - 256: 16 + 14 : 7 - 1
= 221 - 16 + 2 - 1
= 205 + 2 - 1
= 207 - 1 = 206
d) 15 . 24 - 14 . 5 (145 : 5 - 27)
= 360 - 70 (29- 27)
= 360 - 70 . 2
= 360 - 140
= 220
2a) 37 + x = 55
x= 55 - 37
x = 18
b) x- 31 = 24
x = 24 + 31
x = 55
c) 21 (x-11) = 21
x - 11 = 21 : 21
x = 1 +11
x = 12
d ) 9. (x - 29)= 0
x - 29 = 0 :9
x = 29
e) (x - 1954) . 5 = 50
x - 1954 = 50 : 5
x = 1964
f ) 30 . 60 - x = 30
1800 - x = 30
x = 1800 - 30
x = 1770
Viết mỏi tay quá huhuh
Bài 1:
a: BCNN(10;12)=60
b: BCNN(24;10)=120
c: BCNN(4;14;26)=364
d: BCNN(6;8;10)=120
a) x = 10.
b) x = 10.
c) x = 2.