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a: \(x\in\left\{1;2;3;6;9;18\right\}\)
mà \(x\in B\left(4\right)\)
nên \(x\in\varnothing\)
b: \(x\in\left\{1;2;3;4;6;9;12;18;36\right\}\)
mà x>=12
nên \(x\in\left\{12;18;36\right\}\)
c: \(x\in\left\{0;12;24;36;48;60;72;84;96;108;...\right\}\)
mà 30<=x<=100
nên \(x\in\left\{36;48;60;72;84;96\right\}\)
d: \(x\inƯC\left(28;21\right)\)
\(\Leftrightarrow x\inƯ\left(7\right)\)
hay \(x\in\left\{1;7\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
c,
x chia hết cho 12
x chia hết cho 25
=> x thuộc BC(12 , 25)
12 = 2^2.3 ; 25 = 5^2
=> BCNN(12,25) = 2^2.3.5^2 = 300
B(300) = {0;300;600;....}
Vậy x = 300
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30 chia hết cho x; 45 chia hết cho x ; va 2< x < 10
=> x thuộc ỨC(30;45)
=> WCLN(30;45) = 15
=> x = Ư(15) = {1;3;5;15}
Vì 2 < x < 10 => x= 3;5
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A , 3 - ( 17 - x ) = 289 - ( 36 + 289 )
3 - 17 + x = 0 - 36
-14 + x = -36
x = -36 - ( - 14 ) = -22
B, 25 - ( x + 5 ) = -415 - ( 15 - 415 )
25 - x - 5 = 0 - 15
20 - x = -15
x = 20 - ( - 15 ) = 35
C , 34 + ( 21 - x ) = ( 3747 - 30 ) - 3746
34 + 21 - x = 1 - 30
55 - x = -29
x = 55 - (-29 ) = 74
D , -2x - ( x -17 ) = 34 - ( -x + 25 )
- 2x - x + 17 = 34 - 25 + x
- 3x + 17 = 9 + x
- 3x - x = 9 - 17
-4x = -8
x = -8 : ( - 4 )
x = 2
E , 17x + ( -16x - 37 ) = x + 43
17x - 16x -37 = x + 43
x - 37 = x + 43
-37 - 43 = x - x
- 80 = 0 ( vô lý )
G , ( x + 12 ) . (x - 3 ) = 0
\(\hept{\begin{cases}x+12=0\\x-3=0\end{cases}}\)
\(\hept{\begin{cases}x=-12\\x=3\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\left(x+5\right)^2>=0\forall x\)
\(\left(2y-8\right)^2>=0\forall y\)
Do đó: \(\left(x+5\right)^2+\left(2y-8\right)^2>=0\forall x,y\)
Dấu '=' xảy ra khi \(\left\{{}\begin{matrix}x+5=0\\2y-8=0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x=-5\\y=4\end{matrix}\right.\)
b: \(\left(x+3\right)\left(2y-1\right)=5\)
=>\(\left(x+3\right)\left(2y-1\right)=1\cdot5=5\cdot1=\left(-1\right)\cdot\left(-5\right)=\left(-5\right)\cdot\left(-1\right)\)
=>\(\left(x+3;2y-1\right)\in\left\{\left(1;5\right);\left(5;1\right);\left(-1;-5\right);\left(-5;-1\right)\right\}\)
=>\(\left(x,y\right)\in\left\{\left(-2;3\right);\left(2;1\right);\left(-4;-2\right);\left(-8;0\right)\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
khó thế này thì bó tay
a, 10 + 2x = 415 :413
10 + 2x = 16
2x = 16 - 10
2x = 6
x = 6 : 2
x = 3
b, x c Ư ( 30) và x > 12
Ư ( 30 ) = { 1; 2; 3; 5; 6; 10; 15; 30 } mà x > 12
=> x thuộc { 15; 30 }