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\(a,5>0\\b,-3>-7\\c,0>-1\\d,-1<1\\e,10>-15\\f,-5<-1\\g,-10<2\\h,6>-1\)
a, 5 > 0
b, -3 > -7
c, 0 > -1
d, -1 < 1
e, 10 > -15
f, -5 < -1
g, -10 < 2
h, 6 > -1
`@` `\text {Ans}`
`\downarrow`
`c)`
`( 34 - 2x ) . ( 2x - 6 ) = 0`
`=>`\(\left[{}\begin{matrix}34-2x=0\\2x-6=0\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}2x=34\\2x=6\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=34\div2\\x=6\div2\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=17\\x=3\end{matrix}\right.\)
Vậy, `x \in {17; 3}`
`d)`
`( 2019 - x ) . ( 3x - 12 ) =0` `?`
`=>`\(\left[{}\begin{matrix}2019-x=0\\3x-12=0\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=2019-0\\3x=12\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=2019\\x=12\div3\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=2019\\x=4\end{matrix}\right.\)
Vậy, `x \in {2019; 4}`
`e) `
`57 . ( 9x - 27 ) = 0`
`=>`\(9x-27=0\div57\)
`=> 9x - 27 = 0`
`=> 9x = 27`
`=> x = 27 \div 9`
`=> x = 3`
Vậy, `x = 3`
`f)`
`25 + ( 15 - x ) = 30`
`=> 15 - x = 30 - 25`
`=> 15 - x = 5`
`=> x = 15 -5 `
`=> x = 10`
Vậy, `x = 10`
`g) `
`43 - ( 24 - x ) = 20`
`=> 24 - x = 43 - 20`
`=> 24 - x = 23`
`=> x = 24 - 23`
`=> x = 1`
Vậy, `x = 1`
`h) `
`2 . ( x - 5 ) - 17 = 25`
`=> 2 ( x - 5) = 25+17`
`=> 2 ( x - 5) = 42`
`=> x - 5 = 42 \div 2`
`=> x - 5 = 21`
`=> x = 21 + 5`
`=> x = 26`
Vậy, `x = 26`
`i)`
`3 . ( x + 7 ) - 15 = 27`
`=> 3(x + 7) = 27 + 15`
`=> 3(x + 7) = 42`
`=> x +7 = 42 \div 3`
`=> x + 7 = 14`
`=> x = 14 - 7`
`=> x = 7`
Vậy, `x = 7`
`j)`
`15 + 4 . ( x - 2 ) = 95`
`=> 4(x - 2) = 95 - 15`
`=> 4(x - 2) = 80`
`=> x - 2 = 80 \div 4`
`=> x - 2 = 20`
`=> x = 20 + 2`
`=> x = 22`
Vậy, `x = 22`
`k)`
`20 - ( x + 14 ) = 5`
`=> x + 14 = 20 - 5`
`=> x + 14 = 15`
`=> x = 15 - 14`
`=> x = 1`
Vậy, `x = 1`
`l) `
`14 + 3 . ( 5 - x ) = 27`
`=> 3(5 - x) = 27 - 14`
`=> 3(5 - x) = 13`
`=> 5 - x = 13 \div 3`
`=> 5 - x = 13/3`
`=> x = 5- 13/3`
`=> x = 2/3`
Vậy, `x = 2/3.`
`@` `\text {Kaizuu lv uuu}`
a ) \(5.\left(x-7\right)=0\)
\(\Leftrightarrow x-7=5.0\)
\(\Leftrightarrow x-7=0\)
\(\Leftrightarrow x=7\)
b ) \(34.\left(2.x-6\right)=0\)
\(\Leftrightarrow2.x-6=34.0\)
\(\Leftrightarrow2.x-6=0\)
\(\Leftrightarrow2.x=0+6\)
\(\Leftrightarrow2.x=6\)
\(\Leftrightarrow x=6\div2\)
\(\Leftrightarrow x=3\)
c ) \(25+\left(15-x\right)=30\)
\(\Leftrightarrow25+\left(15-x\right)=-\left(x-40\right)\)
\(\Leftrightarrow-\left(x-40\right)=2.3.5\)
\(\Leftrightarrow40-x=30\)
\(\Leftrightarrow-x=-10\)
\(\Leftrightarrow x=10\)
d ) \(43-\left(24-x\right)=20\)
\(\Leftrightarrow24-x=43-20\)
\(\Leftrightarrow24-x=23\)
\(\Leftrightarrow x=24-23\)
\(\Leftrightarrow x=1\)
e ) \(2.\left(x-5\right)-17=25\)
\(\Leftrightarrow2.\left(x-5\right)=25+17\)
\(\Leftrightarrow2.\left(x-5\right)=42\)
\(\Leftrightarrow x-5=42\div2\)
\(\Leftrightarrow x-5=21\)
\(\Leftrightarrow x=21+5\)
\(\Leftrightarrow x=26\)
f ) \(24+3.\left(5-x\right)=27\)
\(\Leftrightarrow3.\left(5-x\right)=27-24\)'
\(\Leftrightarrow3.\left(5-x\right)=3\)
\(\Leftrightarrow5-x=3\div3\)
\(\Leftrightarrow5-x=1\)
\(\Leftrightarrow x=5-1\)
\(\Leftrightarrow x=4\)
g ) \(15\div x-2=3\)
\(\Leftrightarrow15\div x=3+2\)
\(\Leftrightarrow15\div x=5\)
\(\Leftrightarrow x=15\div5\)
\(\Leftrightarrow x=3\)
h ) \(\left(32-x\div5\right)\div13=2\)
\(\Leftrightarrow32-x\div5=2\times13\)
\(\Leftrightarrow32-x\div5=26\)
\(\Leftrightarrow x\div5=32-26\)
\(\Leftrightarrow x\div5=6\)
\(\Leftrightarrow x=5.6\)
\(\Leftrightarrow x=30\)
g ) \(\left(6-2x\right)\left(x-8\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}6-2x=0\\x-8=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=8\end{matrix}\right.\)
Vậy \(x\in\left\{3;8\right\}\)
Mình làm hết nhaa !!
a)5.(x-7)=0
x-7=0:5
x-7=0
x=0+7
x=7
Vậy x=7
b)34.(2x-6)=0
2x-6 =0:34
2x-6 =0
2x=0+6
2x=6
x=6:2
x=3
Vậy x= 3
c)25+(15-x)=30
15-x=30-25
15-x=5
x=15-5
x=10
Vậy x=10
d)43-(24-x)=20
24-x =43-20
24-x=23
x=24-23
x=1
vậy x=1
e)2(x-5)-17=25
2(x-5)=25+17
2(x-5)=42
x-5=42:2
x-5=21
x=21+5
x=26
Vậy x=26
f)24+3(5-x)=27
3(5-x)=27-24
3(5-x)=3
5-x =3:3
5-x=1
x=5-1
x=4
Vậy x=4
g)15:x-2=3
15:x=3+2
15:x=5
x=15:5
x=3
Vậy x=3
h)( 32-x:5):13=2
32-x:5 =2.13
32-x :5=26
x:5= 32-26
x:5=6
x=6.5
x=30
Vậy x=30
k)(6-2x)(x-8)=0
➩6-2x=0 hoặc x-8=0
2x=6-0 x=0+8
2x=6 x=8
x=6:2
x=3
Vậy x=3 hoặc x=8
a) \(5\left(x-7\right)=0\)
\(\Rightarrow x-7=0\)
\(\Rightarrow x=7\)
b) \(25\left(x-4\right)=0\)
\(\Rightarrow x-4=0\)
\(\Rightarrow x=4\)
c) \(\left(34-2x\right)\left(2x-6\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}34-2x=0\\2x-6=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=34\\2x=6\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=17\\x=3\end{matrix}\right.\)
d) \(\left(2019-x\right)\left(3x-12\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}2019-x=0\\3x-12=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2019\\3x=12\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2019\\x=\dfrac{12}{3}=4\end{matrix}\right.\)
e) \(57\left(9x-27\right)=0\)
\(\Rightarrow9x-27=0\)
\(\Rightarrow9\left(x-3\right)=0\)
\(\Rightarrow x-3=0\)
\(\Rightarrow x=3\)
a) 5.(x-7)=0⇔x-7=0⇔x=7
b) 25(x-4)=0⇔x-4=0⇔x=4
c) (34-2x).(2x-6)=0
⇔ 34-2x=0 hoặc 2x-6=0
⇔2x=34 hoặc 2x=6
⇔ x=17 hoặc x=3
d) (2019-x).(3x-12)=0
⇔ 2019-x=0 hoặc 3x-12=0
⇔ x=2019 hoặc x=4
e) 57.(9x-27)=0
⇔ 9x-27=0
⇔ x=3
f) 25+(15-x)=30
⇔ 15-x=5
⇔ x=10
g) 43-(24-x)=20
⇔ 24-x=23
⇔ x=1
h) 2.(x-5)-17=25
⇔ 2(x-5)=42
⇔x-5=21
⇔ x=26
i) 3(x+7)-15=27
⇔ 3(x+7)=42
⇔ x+7=14
⇔ x=7
j) 15+4(x-2)=95
⇔ 4(x-2)=80
⇔ x-2=20
⇔ x=22
k) 20-(x+14)=5
⇔ x+14=15
⇔ x=1
l) 14+3(5-x)=27
⇔ 3(5-x)=13
⇔ 5-x=13/3
⇔ x=5-13/3
⇔ x=2/3
575- [6x+70] = 445 315 +[125-x] = 435 f 541+[218-x]=435
6x+70 =575-445 125-x = 435- 315 218-x = 541-435
6x+70 = 130 125-x =120 218-x =106
6x = 130-70 x = 125 - 120 x = 218-106
6x = 60 x = 5 x = 112
x = 60:6
x = 10
bạn ơi khó hiểu quá,.,.,.
\(\orbr{\begin{cases}\\\end{cases}}\)
a) \(234+\left(345-x\right)=500\)
\(345-x=500-234\)
\(345-x=266\)
\(x=79\)
vay \(x=79\)
b) \(456-\left(x+23\right)=326\)
\(x+23=456-326\)
\(x+23=130\)
\(x=107\)
vay \(x=107\)
c) \(\left(5x-15\right):5=0\)
\(5x-15=0\)
\(5x=15\)
\(x=3\)
vay \(x=3\)
d) \(84-4\left(2x+1\right)=48\)
\(8x+4=84-48\)
\(8x+4=36\)
\(8x=32\)
\(x=4\)
vay \(x=4\)
e) \(\left(x-76\right).54=0\)
\(x-76=0\)
\(x=76\)
vay \(x=76\)
f) \(\left(x-3\right)\left(x+4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x+4=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
vay \(\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
g) \(\left(x-6\right)\left(x-7\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-6=0\\x-7=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=6\\x=7\end{cases}}\)
vay \(\orbr{\begin{cases}x=6\\x=7\end{cases}}\)
h) \(\left(x-2\right)\left(x-3\right)\left(x-5\right)=0\)
\(\Rightarrow x-2=0\Rightarrow x=2\)hoac \(\orbr{\begin{cases}x-3=0\\x-5=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=3\\x=5\end{cases}}\)
vay \(x=2\)hoac \(\orbr{\begin{cases}x=3\\x=5\end{cases}}\)
Bài 3:
a: x(x-1)=0
=>x=0 hoặc x-1=0
=>x=0 hoặc x=1
b: (x-3)(x+4)=0
=>x-3=0 hoặc x+4=0
=>x=3 hoặc x=-4
c: (2x-4)(x+2)=0
=>2x-4=0 hoặc x+2=0
=>x=2 hoặc x=-2
d: (x+1)2(x-2)2=0
=>x+1=0 hoặc x-2=0
=>x=-1 hoặc x=2
Bài 2: - Xét dấu :
P1 : (-).(+).(-).(-) -> Kết quả cuối cùng là số âm.
P2 : (-).(-).(-).(-).(+) -> Kết quả cuối cùng là số dương.
===> P1 < P2.
Bài 3 :
a) \(x\cdot\left(x-1\right)=0\)
\(\Rightarrow\left[\begin{matrix}x=0\\x-1=0\end{matrix}\right.\rightarrow\left[\begin{matrix}x=0\\x=1\end{matrix}\right.\)
b) \(\left(x-3\right)\cdot\left(x+4\right)=0\)
\(\left[\begin{matrix}x-3=0\\x+4=0\end{matrix}\right.\rightarrow\left[\begin{matrix}x=3\\x=-4\end{matrix}\right.\)
c) \(\left(2x-4\right)\cdot\left(x+2\right)=0\rightarrow\left[\begin{matrix}2x-4=0\\x+2=0\end{matrix}\right.\rightarrow\left[\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
d) \(\left(x+1\right)^2\cdot\left(x-2\right)^2=0\rightarrow\left[\begin{matrix}x+1=0\\x-2=0\end{matrix}\right.\rightarrow\left[\begin{matrix}x=-1\\x=2\end{matrix}\right.\)
e) \(x\cdot\left(x+1\right)\cdot\left(x+2\right)^2\cdot\left(x+3\right)^3=0\)
\(\Rightarrow\left[\begin{matrix}x=0\\x+1=0\\x+2=0\\x+3=0\end{matrix}\right.\rightarrow\left[\begin{matrix}x=0\\x=-1\\x=-2\\x=-3\end{matrix}\right.\)
f) \(\left(x-9^5\right)\cdot\left(x-5\right)^8=0\)
\(\Rightarrow\left[\begin{matrix}x-9=0\\x-5=0\end{matrix}\right.\rightarrow\left[\begin{matrix}x=9\\x=5\end{matrix}\right.\)
g) \(x\cdot\left(x+100\right)^{10}\cdot\left(x+2000\right)^{20}\cdot\left(x+300\right)^{3000}=0\)
\(\Rightarrow\left[\begin{matrix}x=0\\x+100=0\\x+2000=0\\x+300=0\end{matrix}\right.\rightarrow\left[\begin{matrix}x=0\\x=-100\\x=-2000\\x=-300\end{matrix}\right.\)
h) \(\left(x-2\right)^2=0\rightarrow x=2\)
a . 2 − 5 = - 3 b . 5 − ( − 8 ) = 13 c . ( − 6 ) − ( − 15 ) = 9 d . − 95 − 5 = - 100 e . 1001 − 0 = 1001 f . 0 − 5 = - 5 g . 0 − m = - m h . m − 0 = m