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giống cái kia thôi bn
Mik làm rồi mà
Mà cái bn Nguyễn Duy Đạt gì đó làm thiếu 1 trường hợp
Mà bn vẫn kik hở
Sao zzzzz??????
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(2x-1)2 = (2x-1)6
(2x-1)2 - (2x-1)6 = 0
(2x-1)2 x (1-(2x-1)4) = 0
=> 2x-1 = 0 <=> x=1/2
=> 2x-1=1 <=> x=1
vội cũng phải cho mik nha
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\(\left(2x+1\right)^5=\left(2x+1\right)^{2010}\)
\(\Rightarrow\left(2x+1\right)^{2010}-\left(2x+1\right)^5=0\)
\(\Rightarrow\left(2x+1\right)^5.\left[\left(2x+1\right)^{2005}-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(2x+1\right)^5=0\\\left(2x+1\right)^{2005}-1=0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}2x+1=0\\\left(2x+1\right)^{2005}=1\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}2x+1=0\\2x+1=1\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}2x=-1\\2x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-\frac{1}{2}\\x=0\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=-\frac{1}{2}\\x=0\end{cases}}\)
(2x+1)5=(2x+1)2010
=> 2x+1=1 hoặc 2x+1=0
=>2x=0 hoặc 2x=1
=>x=0 hoặcx=0,5
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a/ \(\left|1-2x\right|>7\Leftrightarrow\left[{}\begin{matrix}1-2x=7\\1-2x=-7\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x< -6\\2x< 8\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x< -3\\x< 4\end{matrix}\right.\)
b/ \(\dfrac{-5}{x-3}< 0\Leftrightarrow x-3>0\) ( vì -5<0)
\(\Leftrightarrow x>3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(2x-1\right)^6=\left(2x-1\right)^8\)
\(\Leftrightarrow\left(2x-1\right)^6-\left(2x-1\right)^8=0\)
\(\Leftrightarrow\left(2x-1\right)^6\left[1-\left(2x-1\right)^2\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(2x-1\right)^6=0\\1-\left(2x-1\right)^2=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=1\\2x-1=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\2x=2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=1\end{cases}}\)
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\(\left(2x+1\right)^3=-0,001\)
\(\Rightarrow\left(2x+1\right)^3=\left(-0,1\right)^3\)
\(\Rightarrow2x+1=-0,1\)
\(\Rightarrow2x=-\frac{1}{10}-1\)
\(\Rightarrow2x=-\frac{11}{10}\)
\(\Rightarrow x=-\frac{11}{10}:2\)
\(\Rightarrow x=-\frac{11}{10}.\frac{1}{2}=-\frac{11}{20}\)
(2x - 1)6 = (2x - 1)8
<=> (2x - 1)8 - (2x - 1)6 = 0
<=> (2x - 1)6[(2x - 1)2 - 1] = 0
<=> \(\orbr{\begin{cases}\left(2x-1\right)^6=0\\\left(2x-1\right)^2-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}2x-1=0\\\left(2x-1\right)^2=1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\2x-1=\pm1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x\in\left\{1;0\right\}\end{cases}}\)
Vậy \(x\in\left\{1;0;\frac{1}{2}\right\}\)