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Bài 1 :
a) ( 257 x 139 - 257 x 39 ) : 100
= 257 x ( 139 - 39 ) : 100
= 257 x 100 : 100
= 257
a) ( 257 × 139 – 257 × 39 ) : 100
= [ 257 x ( 139 -39 ) ] : 100
= ( 257 x 100 ) :100
= 25700 :100
=257
b) 5 + 6 + 13 + 17 + .......+ 2017
= ( 5 + 2017 ) + ( 6 + 2016 ) + ( 7 + 2015 ) + ... + ( 1009 + 1013 ) + ( 1010 + 1012 ) + 1011
= 2022 + 2022 + 2022 + ... + 2022 + 2022 + 1011
= 2022 × 1006 + 1011
= 203514
c) 12 × 57 + 57 × 15 + 63 × 57
= 57 × ( 12 + 15 + 63 )
= 57 x 90
= 5130
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài làm
a) 200 - ( 2x + 6 ) = 43 b) 32 ( x + 4 ) - 52 = 5.22
2x + 6 = 200 - 64 32 ( x + 4 ) = 20 + 25
2x + 6 = 136 32 ( x + 4 ) = 45
2x = 136 - 6 x + 4 = 45 : 9 (chỗ này là x + 4 = 45 : 32 )
2x = 130 x + 4 = 5
x = 130 : 2 x = 5 - 4
x = 65 x = 1
Vậy x = 65 Vậy x = 1
c) ( x - 36 ) : 18 = 12 d) ( x - 47 ) - 115 = 0
x - 36 = 12 * 18 x - 47 = 115
x - 36 = 216 x = 115 + 47
x = 216 + 36 x = 162
x = 252 Vậy x = 162
Vậy x = 252
e) 0 : x = 0 f) 3x = 9
Vì 0 : x = 0 => 3x = 32
=> \(\frac{0}{x}=0\) => x = 2
Mà số 0 không bao giờ ở mẫu số. Vậy x = 2
=> \(x\in\left\{N\right\}\)
Vậy \(x\in\left\{N\right\}\)
g) 4x = 64
=> 4x = 43
=> x = 3
Vậy x = 3
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a.2436 :x = 12
x = 2436 : 12
x = 203
b. 6x - 5 = 613
6x = 613 + 5
6x = 618
x = 618 : 6
x = 13
c.( x - 47 ) - 115 = 7
x - 47 = 7 + 115
x - 47 = 122
x = 122 + 47
x =169
d . 315 + (146 - x ) =401
146 - x = 401 - 315
146 - x = 86
x = 146 - 86
x = 60
e.( x - 36 ) : 18 = 12
x - 36 = 12 x 18
x - 36 = 216
x = 216 + 36
x = 252
a , 2 436 : x = 12
x = 2 436 : 12
x = 203
b , 6x - 5 = 613
6x = 618
x = 103
c , ( x - 47 ) - 115 = 7
x - 47 = 122
x = 169
d , 315 + ( 146 - x ) = 401
146 - x = 401 - 315
146 - x = 86
x = 146 - 86
x = 60
e , ( x - 36 ) : 18 = 12
x - 36 = 216
x = 216 + 36
x = 252
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(15-5\left|x+4\right|=-12-3\)
\(\Leftrightarrow5\left|x+4\right|=30\)
\(\Leftrightarrow\left|x+4\right|=6\)
\(\Leftrightarrow\orbr{\begin{cases}x+4=6\\x+4=-6\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-10\end{cases}}\)
b) \(\left(4x-8\right)\left(7-x\right)=0\Leftrightarrow\orbr{\begin{cases}4x-8=0\\7-x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=7\end{cases}}\)
c) \(\left(x^2-36\right)\left(x^2+5\right)=0\Rightarrow\left(x-6\right)\left(x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-6=0\\x+6=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)
d) \(-3\left(x+7\right)-11=2\left(x+5\right)\)
\(\Leftrightarrow-3x-32=2x+10\)
\(\Leftrightarrow5x=-42\Rightarrow x=-\frac{42}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
bài2 \(x\times\dfrac{15}{16}-x\times\dfrac{4}{16}=2\)
\(x\times\dfrac{11}{16}=2\)
\(x=2:\dfrac{11}{16}\)
\(x=\dfrac{32}{11}\)
Bài 1 :
\(\dfrac{x}{16}\times\left(2017-1\right)=2\)
\(\dfrac{x}{16}\times2016=2\)
\(\dfrac{x}{16}=\dfrac{2}{2016}\)
\(x=\dfrac{2}{2016}\times16\)
\(x=\dfrac{1}{63}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1, 2x - 35 = 15
2x = 15 + 35
2x = 50
x = 50 : 2
x = 25.
2, 3x + 18 = 12
3x = 12 - 18
3x = -6
x = -6 : 3
x = -2.
3, / x - 1 / = 0
=> x \(\in\varnothing\).
4, -13 /x/ = - 26
/x/ = -26 : -13
=> \(\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
Vậy x \(\in\){ 2 ; -2}.
5,4 - ( 27 - 3 ) = x - ( 13 - 4 )
4 - 24 = x - 9
-20 = x - 9
-x = 9 + 20
-x = 29
x = -29.
6, 47 - ( x + 15 ) = 21
47 - x - 15 = 21
-x - 15 = 21 - 47
-x - 15 = -26
-x = -26 + 15
-x = - 11
x = 11.
7, -5 -( 24 - x) = - 11
-5 - 24 + x = -11
-24 + x = -11 + 5
-24 + x = -6
x = -6 + 24
x = 18.
8, 6 - /x/ = 2
/x/ = 6 - 2
\(\orbr{\begin{cases}x=3\\x=-3\end{cases}}\)
Vậy x \(\in\left\{3;-3\right\}.\)
9, 6 + /x/ = 2
/x/ = 2 - 6
=> x = -4.
2x - 35 = 15
=> 2x = 15 + 35
=> x = 50 : 2
=> x = 25
3x + 18 = 12
=> 3x = 12 - 18
=> x = ( -6 ) : 3
=> x = -2
| x - 1 | = 0
=> x - 1 = 0
=> x = 0 + 1
=> x = 1
-13 * | x | = -26
=> | x | = -26 : ( -13 )
=> | x | = 2
a) (x-5)(x-7)=0 => x-5=0 hoặc x-7=0 => x=5 hoặc x=7
b) 541+ (218-x) =735 => 218-x= 735 -541 => 218-x=194 => -x = -24 => x=24
c) 96-3(x+1)=42 => -3(x+1)=96-42 => -3(x+1) = 54 => x+1= 18 => x= 17
d) (x-47)-115 =0 => x-47 = 115 => x=162
e) (x-36):18=12 => x-36 =216 => x=252
g) (x-3)(3+x)=0 => x-3=0 hoặc 3+x=0 => x=3 hoặc x= -3