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20 . 2^x + 1 = 10.4^2 + 1
20 . 2^x + 1 = 10 . 16 + 1
20 . 2^x + 1 = 161
20 . 2^x = 161 - 1
20 . 2^x = 160
2^x = 8
2^x = 2^3
=> x = 3
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(x+1)+(x-3)=x-2
<=> x+1+x-3=x-2
<=> x+1+x-3-(x-2)=0
<=> x+1+x-3-x+2=0
<=> (x+x-x)+(1-3+2)=0 <=> x=0
Đúng thì tick nha ơn nhìu
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x+(x+1)+(x+2)+(x+3)+.......+(x+30)=1240
\(\Leftrightarrow\left(x+x+x.+...x\right)+\left(1+2+3...+30\right)=1240\)
\(\Rightarrow30x+465=1240\)
\(\Rightarrow30x=1240-465=775\)
\(\Rightarrow30x=775\)
\(V\text{ậy}x=\frac{155}{6}\)
1+2+3+.....+x=210
\(\left(1+x\right).x=210\)
\(\Rightarrow x=14\)
x+(x+1)+(x+2)+...+(x+30)=1240
=>x+x+1+x+2+...+x+30=1240
=>(x+x+x+...+x)+(1+2+...+30)=1240
=>31x+[(30-1):1+1] . (30+1) :2=1240
=>31x+30.31:2=1240
=>31x+15.31=1240
=>31(x+15)=1240
=>x+15=1240:31=40
=>x=40-15=25
1+2+3+...+x=210
=>[(x-1):1+1]. (x+1) : 2= 210
=>x.(x+1):2=210
=>x(x+1)=210.2=420
=>x(x+1)=20.21
=>x=20
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*) Ta có a(b-2)=3
Vì a,b là số nguyên => a,b-2 thuộc Ư(3)={-3;-1;1;3}
Vì a>0 => a={1;3}
Ta có bảng
a | 1 | 3 |
b-2 | 3 | 1 |
b | 5 | 3 |
b) (x-2)(y+1)=23
=> x-2;y+1 thuộc Ư(23)={-23;-1;1;23}
Ta có bảng
x-2 | -23 | -1 | 1 | 23 |
x | -21 | 1 | 3 | 25 |
y+1 | -1 | -23 | 23 | 1 |
y | -2 | -24 | 22 | 0 |
1. \(a\left(b-2\right)=3\)
Ta có : \(3=\orbr{\begin{cases}3\cdot1\\-3\cdot\left(-1\right)\end{cases}}\)
* a = 3 ; b - 2 = 1 => b = 3
* a = 1 ; b - 2 = 3 => b = 5
* a = -1 ; b - 2 = -3 => b = -1
* a = -3 ; b - 2 = -1 => b = 1
2. \(\left(x-2\right)\left(y+1\right)=23\)
Ta có : \(23=\orbr{\begin{cases}23\cdot1\\-23\cdot\left(-1\right)\end{cases}}\)
* x - 2 = 23 ; y + 1 = 1 => x = 25 ; y = 0
* x - 2 = 1 ; y + 1 = 23 => x = 3 ; 22
* x - 2 = -23 ; y + 1 = -1 => x = -21 ; y = -2
* x - 2 = -1 ; y + 1 = -23 => x = 1 ; y = -24
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Nguyễn Thị Quỳnh Linh
Ta có :
\(\left|x+1\right|\ge0\)
\(\left|x+2\right|\ge0\)
\(\left|x+3\right|\ge0\)
\(\Rightarrow\left|x+1\right|+\left|x+2\right|+\left|x+3\right|\ge0\)
\(\Rightarrow4x\le0\)
Mà 4 > 0
=> x > 0
=> x + 1 + x + 2 + x + 3 = 4x (phá trị uyệt đối vì x dương)
=> 3x + 6 = 4x
=> 4x - 3x = 6
=> x = 6
\(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|=4x\)
\(3x+6=4x\Rightarrow x=6\)
x + 1/2 = x - 2/3
x - x = 1/2 + 2/3
0 = 7/6 (vl)
Vậy không có x thỏa mãn