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1.
a, \(x-14=3x+18\)
\(\Rightarrow x-3x=18+14\)
\(\Rightarrow-2x=32\Rightarrow x=\frac{32}{-2}=-16\)
b, \(\left(x+7\right).\left(x-9\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+7=0\\x-9=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-7\\x=9\end{cases}}}\)
c, \(\left|2x-5\right|-7=22\)
\(\Rightarrow\left|2x-5\right|=22+7\)
\(\Rightarrow\left|2x-5\right|=29\)
\(\Rightarrow\orbr{\begin{cases}2x+5=29\\2x-5=29\end{cases}}\Rightarrow\orbr{\begin{cases}2x=24\\2x=34\end{cases}\Rightarrow}\orbr{\begin{cases}x=12\\x=17\end{cases}}\)
d, \(\left(\left|2x\right|-5\right)-7=22\)
\(\Rightarrow\left(\left|2x\right|-5\right)=29\)
\(\Rightarrow\left|2x\right|=29+5\Rightarrow\left|2x\right|=34\Rightarrow x=\pm17\)
e, \(\left|x+3\right|+\left|x+9\right|+\left|x+5\right|=4x\)
Vì \(\left|x+3\right|\ge0;\left|x+9\right|\ge0;\left|x+5\right|\ge0;4x\ge0\)
Nên \(\left|x+3\right|+\left|x+9\right|+\left|x+5\right|=4x\ge0\)
\(\Rightarrow\left|x+3\right|>0\Rightarrow\left|x+3\right|=x+3\)
\(\left|x+9\right|>0\Rightarrow\left|x+9\right|=x+9\)
\(\left|x+5\right|>0\Rightarrow\left|x+5\right|=x+5\)
Ta có :
\(x+3+x+9+x+5=4x\)
\(\Rightarrow3x+\left(3+9+5\right)=4x\)
\(\Rightarrow4x-3x=17\)
\(\Rightarrow x=17\)
2. a , b sai đề bn
c, \(\left(5x+1\right).\left(y-1\right)=4\)
\(\Rightarrow\left(5x+1\right).\left(y-1\right)\inƯ\left(4\right)\)
\(\text{ }Ư\left(4\right)=\left\{1;-1;2;-2;4;-4\right\}\)
Ta có bảng sau :
| 5x+1 | 1 | -1 | 2 | -2 | 4 | -4 |
| y-1 | -4 | 4 | -2 | 2 | -1 | 1 |
| x | 0 | -2/5 | 1/5 | -3/5 | 3/5 | -1 |
| y | -3 | 5 | -1 | 3 | 0 | 2 |
d, \(5xy-5x+y=5\)
\(\Rightarrow\left(5xy-5x\right)+y=5\)
\(\Rightarrow5x.\left(y-1\right)+y=5\)
\(\Rightarrow\left(5x+1\right).\left(y-1\right)=4\)
\(\Rightarrow\left(5x+1\right).\left(y-1\right)\inƯ\left(4\right)\)
\(Ư\left(4\right)=\left\{1;-1;2;-2;4;-4\right\}\)
Ta có bảng sau :
| 5x+1 | 1 | -1 | 2 | -2 | 4 | -4 |
| y-1 | -4 | 4 | -2 | 2 | -1 | 1 |
| x | 0 | -2 | 1/5 | -3/5 | 3/5 | -1 |
| y | -3 | 5 | -1 | 3 | 0 | 2 |
c) x.(1+2+3+4+...+100)=0
x.5050=0
x=0:5050=0
Vậy x=0
d) x.(1+2+3+4+5+...+100)=5050
x.5050=5050
x=1
Vậy x=1
e) x+1+x+2+x+3+x+4+...+x+100=5050
(x+x+x+x+...+x)+(1+2+3+4+...+100)=5050
100 số hạng x
x.100+5050=5050
x.100=0
x=0
Vậy x=0
a) 3x2 + 12x =0
<=> 3x( x+ 4)=0
<=> \(\orbr{\begin{cases}3x=0\\x+4=0\end{cases}}\) <=>\(\orbr{\begin{cases}x=0\\x=-4\end{cases}}\)
d) \(4x^3=4x\)
<=> \(4x^3-4x=0\)
<=> 4x( x2 -1) =0
<=> 4x ( x - 1) ( x+ 1) =0
<=> 4x=0 hoac x-1=0 hoac x+1=0
<=> x=0 hoac x=1 hoac x=-1
b) \(-2x+\left(-3x\right)+\left(-4x\right)+......+\left(-20x\right)=1254\)
\(\Rightarrow x.\left(-2-3-4-.......-20\right)=1254\)
\(\Rightarrow x.\left[-\left(2+3+4+.....+20\right)\right]=1254\)
\(\Rightarrow x.\left(-209\right)=1254\)
\(\Rightarrow x=1254:\left(-209\right)\)
\(\Rightarrow x=-6\)
c) \(\left|2x\right|=4\)
\(\Rightarrow\orbr{\begin{cases}2x=4\\2x=-4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
d) \(\left|2x-1\right|=3\)
\(\Rightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=4\\2x=-2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
a,17-3x-11=31-2x
=> 6 - 3x = 31 - 2x
=> 6 - 31 = - 2x + 3x
=> x = - 25
Vậy x = - 25
b,12 - | x + 3 |=5
=> | x + 3 | = 7
\(\Rightarrow\orbr{\begin{cases}x+3=7\\x+3=-7\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=4\\x=-10\end{cases}}\)
Vậy \(x\in\left\{4;-10\right\}\)
c,4 x+ (-46) = -30
=> 4x = - 30 + 46
=> 4x = 16
=> x = 4
Vậy x = 4
d, -20 + (5x - 5 ) = 60
= > - 20 + 5x - 5 = 60
=> 5x = 60 + 20 + 5
=> 5x = 85
=> x = 17
Vậy x = 17
e, 10 + |1 - 2x |= 15
=> | 1 - 2x | = 5
\(\Rightarrow\orbr{\begin{cases}1-2x=5\\1-2x=-5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=-4\\2x=6\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-2\\x=3\end{cases}}\)
Vậy \(x\in\left\{-2;3\right\}\)
Dài qua lần sau đừng đăng nhiều như v
Tự nghĩ k đc à
@@ Học tốt @@
## Chiyuki Fujito
a). 3. |9 - 2x| - 17 = 16
3. |9 - 2x| = 16 + 17
3. |9 - 2x| = 33
|9 - 2x| = 33 : 3
|9 - 2x| = 11
=> 9 - 2x = 11
2x = 9 - 11
2x = -2
x = - 2 : 2
x = - 1
hay 9 - 2x = - 11
2x = 9 - (- 11)
2x = 9 + 11
2x = 20
x = 20 : 2
x = 10
Vậy x = -1; x = 10
a) 3.| 9 - 2x | -17 = 16
3. | 9 - 2x | = 16 + 17 = 33
| 9 - 2x | = 33 : 3 = 11
\(\Rightarrow\)9 - 2x = 11 hoặc 9 - 2x = -11
2x = 9 - 11 2x = 9 - ( - 11 )
2x = -2 2x = 20
x = -2 : 2 x = 20 : 2
x = -1 x = 10
cau trả lời là còn cái nịt. có tay có chân sao ko làm bài thì dễ mà ko biết mần
`Answer:`
a) `5x – 100,005 = 4x – 0,005`
`<=>5x-4x=-0,005+100,005`
`<=>x=100`
b) `(2,35 + 5,47) + x = 2x – 40,02`
`<=>7,82+x=2x-40,02`
`<=>x-2x=-40,02-7,82`
`<=>-x=-47,84`
`<=>x=47,84`
c) `x – (303,03 – 103,03) = 405,16`
`<=>x-200=405,26`
`<=>x=405,16+200`
`<=>605,16`
d) `2x + (- 54,05) = x – 45,07`
`<=>2x-54,05=x-45,07`
`<=>2x-x=-45,07+54,05`
`<=>x=8,98`