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3.4x-2+4x-1+4x=92
4x(3+1+1)-2-1=92
4x.5-2-1=92
4x.5 =92+1+2
4x.5 =95
4x =95:5
4x =19
3.4x-2+4x-1+4x=92
4x(3+1+1)-2-1=92
4x.5-2-1=92
4x.5 =92+1+2
4x.5 =95
4x =95:5
4x =19
đây em nhé
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![](https://rs.olm.vn/images/avt/0.png?1311)
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\(\Rightarrow\left(2-4x\right)+4\left(x-1\right)⋮x-1\)
\(\Rightarrow\left(2-4x\right)+\left(4x-4\right)⋮x-1\)
\(\Rightarrow2-4x+4x-4⋮x-1\)
\(\Rightarrow-2⋮x-1\)
\(\Rightarrow x-1\inƯ\left(-2\right)=\left(1;-1;2;-2\right)\)
Ta có bảng sau :
x - 1 1 -1 2 -2
x 2 0 3 -1
Mà \(x\in Z\)
\(\Rightarrow x\in\left(2;0;3;-1\right)\)
Vì (2-4x) chia hết cho x-1
suy ra 4(x-1)+2-4x
4x-4+2-4x = 6 chia hết cho x-1
suy ra x-1 thuộc B(6)={1;2;3;6}
x thuộc {2;3;4;7}
vậy x=2;3;4;7.
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Nguyễn Thị Mai:
\(^{\frac{1}{2.3}x+\frac{1}{3.4}x+....+\frac{1}{49.50}x=1}\)
Đặt: \(^{\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\right)x=1}\)
\(^{\Leftrightarrow\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\right)x=1}\)
\(^{\Leftrightarrow\frac{1}{2}+\left(\frac{1}{3}-\frac{1}{3}\right)+\left(\frac{1}{4}-\frac{1}{4}\right)+...+\left(\frac{1}{49}-\frac{1}{49}\right)-\frac{1}{50}x=1}\)
\(^{\Leftrightarrow\left(\frac{1}{2}+0+0+...+0-\frac{1}{50}\right)x=1}\)
\(^{\Leftrightarrow\left(\frac{1}{2}-\frac{1}{50}\right)x=1}\)
\(^{\Leftrightarrow\frac{12}{25}x=1}\)
\(^{\Leftrightarrow x=\frac{25}{12}}\)
Tham khảo nha ~~
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\(1,\Rightarrow3^{x-3}=\left(3^2\right)^8:\left(3^3\right)^5=3^{16}:3^{15}=3^1\\ \Rightarrow x-3=1\\ \Rightarrow x=4\\ 2,\Rightarrow7^x\left(1+7^2\right)=350\\ \Rightarrow7^x=\dfrac{350}{50}=7=7^1\\ \Rightarrow x=1\)
\(3,\Rightarrow2^{2+2x+2}-2^{2x}=240\\ \Rightarrow2^{2x}\left(2^4-1\right)=240\\ \Rightarrow2^{2x}=\dfrac{240}{15}=16=2^4\\ \Rightarrow2x=4\Rightarrow x=2\)
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có 4x-Ix+2I = -(-7)
4x -Ix+2I = 7
Ix+2I =4x-7
điều kiện: 4x-7>hoặc =0
=> 4x > hoặc = 7 => x>= \(\frac{7}{4}\)
=> x+2=4x-7 hoặc x +2= -4x+7
x- 4x = -7 -2 hoặc x+4x= 7-2
-3x = -9 hoặc 5x =5
x= 3 hoặc x=1
vậy x=3(tm) hoặc x= 1(loại)
vậy x=3
4^x . 4^2 -3 . 4^x=832
4^x.(16-3)=832
4^x=64
x=3
4x+2 -3.4x=832
=> 4x . 42 -3 . 4x = 832
=> 4x (42 - 3) = 832
=> 4x = 64 = 43
=> x = 3