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1) x - 2 = -6
x = -6 + 2
x = -4
2) -5 . x - ( -3 ) =13
-5 . x = 13 + ( -3 )
-5 . x = 10
x = 10 : ( -5 )
x = -2
Bài toán 1 : Tìm x nguyên biết.
a. 3 ≤ x – 2 < 5
=>3-2 < x-2 < 5-2
=>1 < x < 3
=>x=1
Vậy x=1
b. 0 ≤ x – 5 ≤ 2
=>0-5 < x-5 < 2-5
=>-5 < x < -3
=>x=-4
Vậy x=-4
Bài toán 2 : Tính hợp lý.
a. 4567 + (1234 – 4567) -4
=4567+1234-4567-4
=(4567-4567)+(1234-4)
=0+1230
=1230
b. 2001 – (53 + 1579) – (-53)
=2001-53-1579+53
=(2001-1579)+(-53+53)
=422+0
=422
c. 35 – 17 + 2017 – 35 + (-2017)
=(35-35)+[2017+(-2017)]-17-35
=0+0-17-35
=0-17-35
=-52
d. 37 + (-17) – 37 + 77
=(37-37)+[-17+77]
=0+60
=60
e. –(-219) + (-219) – 401 + 12
=0-401+12
=-389
f. |-85| – (-3).15
=85+3.15
=85+45
=130
g. 11.107 + 11.18 – 25.11
=11.(107+18-25)
=11.100
=1100
h. 115 – (-85) + 53 – (-500 + 53)
=115+85+53+500-53
=(53-53)+(115+85+500)
=0+700
=700
k. (-18) + (-31) + 98 + |-18| + (-69)
=-18-31+98+18-69
=(-18+18)+(-31-69)+98
=0+(-100)+98
=-100+98
=-2
Bài toán 4 : Tìm x, biêt.
a. 5x – 16 = 40 + x
5x - x = 40 + 16
4x = 56
x = 56 : 4
x=14
b. 4x – 10 = 15 – x
4x + x = 15 + 10
5x = 25
x = 25 : 5
x = 5
c. -12 + x = 5x – 20
-12 + 20 = 5x - x
8 = 4x
x = 8 : 4
x = 2
d. 7x – 4 = 20 + 3x
7x - 3x = 20 + 4
4x=24
x=24:4
x=6
e. 5x – 7 = – 21 – 2x
5x + 2x = -21+7
7x = -14
x = -14 : 7
x = -2
f. x + 15 = 7 – 6x
x + 6x = 7 - 15
7x = -8
x = -8/7
g. 17 – x = 7 – 6x
17 - 7 = -6x + x
10 = -7x
x=10/-7
h. 3x + (-21) = 12 – 8x
3x + 8x = 12 + 21
11x = 33
x = 33:11
x=3
k. 125 : (3x – 13) = 25
3x-13=125:25
3x-13=5
3x=5+13
3x=18
x=18:3
x=6
l. 541 + (218 – x) = 735
218-x=735-541
218-x=693
x=218-693
x=-475
a) x+5+2.x=17
x.1+2x=17-5
x.(2+1)=12
x.3=12
x=12:3
x=4
vay x = 4
c) (3-x).(x+5)=0
\(\Rightarrow\left[{}\begin{matrix}3-x=0\\x+5=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3-0\\x=0-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\)
vay x \(\in\left\{3:-5\right\}\)
d) (2.x+2).(x-19)=0
\(\Rightarrow\left[{}\begin{matrix}2x+2=0\\x-19=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=0-2\\x=0+19\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=-2\\x=19\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-2:2\\x=19\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x=19\end{matrix}\right.\)
vay x \(\in\left\{-1;19\right\}\)
e) (x+2)3=(-125)
x+2=-125:3( loai )
vay x ko co gia tri nao thoa man
f) |x-3|=4
\(\Rightarrow\left[{}\begin{matrix}x-3=4\\x-3=-4\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4+3\\x=-4+3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=7\\x=-1\end{matrix}\right.\)
vay x\(\in\left\{7;-1\right\}\)
g) 2.|7-x|=16
\(\)/7-x/=16:2
/7-x/=8
\(\Rightarrow\left[{}\begin{matrix}7-x=-8\\7-x=8\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-8+7\\x=8+7\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x=15\end{matrix}\right.\)
vay \(x\in\left\{-1;15\right\}\)
h) 12-2.|x-10|=(-18)
2/x-10/=-18+12
2/x-10/=-6
/x-10/=-6:2
/x-10/=-3
\(\Rightarrow\left[{}\begin{matrix}x-10=3\\x-10=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3-10\\x=-3+10\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-7\\x=7\end{matrix}\right.\)
vay \(x\in\left\{-7;7\right\}\)
đây bạn
\(\text{ x . (x - 3) = 0}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-3=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=3\end{cases}}\)
vậy_______
1 ) 5 - ( 10 - x ) = 7
10 - x = 5 - 7
10 - x = - 2
x = 10 - ( - 2 )
x = 12
Vậy x = 12
b. 1500(x-7)=0
x-7=0
x=7
c. (2x-4)(48-12x)=0
2x-4=0 hoặc 48-12x=0
x=2 hoặc x=4
d. (x+12)(x-1)=0
x+12=0 hoặc x-1=0
x=-12 hoặc x=1
bài 2 :
a . 128-3(x+4)=23
3(x+4)=105
x+4=35
x=31
b. [(14X+26).3+55]:5=35
(14x+26).3+55=175
(14x+26).3=120
14x+26=40
14x=14
x=1
d. 720:[41-(2X-5)]=23.5
41-(2x-5)=720:(23.5)
41-(2x-5)=144/23
2x-5=799/23
2x=914/23
x=457/23
b, 1500.(x – 7) = 0
<=>1500x-10500=0
<=>1500x=10500
<=>x=7
Vậy x=7
c,(2.x – 4).(48 – 12.x) = 0
\(\Leftrightarrow\)\(\left\{{}\begin{matrix}2x-4=0\\48-12x=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2x=4\\12x=48\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\x=4\end{matrix}\right.\)
Vậy x=2 hoặc x=4
d, (x + 12).(x – 1) =0
\(\Leftrightarrow\left\{{}\begin{matrix}x+12=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-12\\x=1\end{matrix}\right.\)
Vậy x=-12 hoặc x=1
Bài 2:
a) 128- 3(x+ 4) = 23
\(\Leftrightarrow\)128-(3x+12)=23
\(\Leftrightarrow\)128-3x-12=23
\(\Leftrightarrow\)116-3x=23
\(\Leftrightarrow\)3x=116-23
\(\Leftrightarrow\)3x=93
\(\Leftrightarrow\)x=31
Vậy x=31
b) [(14x+ 26). 3+ 55]: 5= 35
\(\Leftrightarrow\)(14x+ 26). 3+ 55=175
\(\Leftrightarrow\)42x+78+55=175
\(\Leftrightarrow\)42x+133=175
\(\Leftrightarrow\)42x=175-133
\(\Leftrightarrow\)42x=42
\(\Leftrightarrow\)x=1
Vậy x=1
d, 720: [41- (2x- 5)]= 23. 5
\(\Leftrightarrow\)720: 41- (2x- 5)=115
\(\Leftrightarrow\)41-(2x- 5)=720:115
\(\Leftrightarrow\)41-(2x- 5)=\(\dfrac{144}{23}\)
\(\Leftrightarrow\)2x-5=\(\dfrac{799}{23}\)
\(\Leftrightarrow\)2x=\(\dfrac{914}{23}\)
\(\Leftrightarrow\)x=\(\dfrac{457}{23}\)
Vậy x=\(\dfrac{457}{23}\)
a) x = 4
b) x = 2 ; x = -4
c) x = 2 ; x = -15
d) x = 7 ; x = -19
e) x = -4 ; -3 ; -2 ; -1 ; 0
g) x = -1 ; - 2 ; 1 ; 2 ; 3 ; 4 ; ...
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a) -12x + 60 + 21 - 7x = 5
-12x - 7x + 60+21 = 5
-19x + 81 = 5
81-5 = 19x
19x = 76
x= 4
a,3.x-12=125-5.5.5
3.x-12=125-125
3.x-12=0
3.x=0+12
3.x=12
x=12:3
x=4
b,x-2!+17=35
x-2=35-17
x-2=18
x=18+2
x=20
c,x.x-3.x=0
x.3-3=0
x.3=0+3
x.3=3
x=3:3
x=1
d, (2.x-4).(3.x-9)=0
khi2.x-4=0 thì 3.x-9=0
2.x-4=0 3.x-9=0
2.x=0+4 3.x=0+9
2.x=4 3.x=9
x=4:2 x=9:3
x=2 x=3
vậy x=2 hoạc x=3
h,(15-3.x).(2.x-7)=0
khi 15-3.x=0 thì 2.x-7=0
15-3.x=0 2.x-7=0
3.x=0+15 2.x=0+7
3.x=15 2.x=7
x=15:3 x=7:2
x=5 7ko chia hết cho 2 nên ko có x
vậy x =5
nhớ k cho mình nha
thank bạn