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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
\(\left(2x+1\right)^5=\left(2x+1\right)^{2010}\)
\(\Rightarrow\left(2x+1\right)^{2010}-\left(2x+1\right)^5=0\)
\(\Rightarrow\left(2x+1\right)^5.\left[\left(2x+1\right)^{2005}-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(2x+1\right)^5=0\\\left(2x+1\right)^{2005}-1=0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}2x+1=0\\\left(2x+1\right)^{2005}=1\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}2x+1=0\\2x+1=1\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}2x=-1\\2x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-\frac{1}{2}\\x=0\end{cases}}\)
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
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)
\(\Leftrightarrow x>3\)
a. \(\left|x+2\right|>7\Leftrightarrow\left[{}\begin{matrix}x+2>7\\x+2< -7\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x>5\\x< -9\end{matrix}\right.\)
Vậy...
b. \(\left|x-1\right|< 3\)
a/dễ --> tự lm
b/ \(\left(x-\dfrac{4}{7}\right)\left(1\dfrac{3}{5}+2x\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{5}=0\\1\dfrac{3}{5}+2x=0\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{5}\\2x=\dfrac{8}{5}\Rightarrow x=\dfrac{4}{5}\end{matrix}\right.\)
Vậy...............
c/ \(\left(x-\dfrac{4}{7}\right):\left(x+\dfrac{1}{2}\right)>0\)
TH1: \(\left\{{}\begin{matrix}x-\dfrac{4}{7}>0\\x+\dfrac{1}{2}>0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x>\dfrac{4}{7}\\x>-\dfrac{1}{2}\end{matrix}\right.\) \(\Rightarrow x>\dfrac{4}{7}\)
TH2: \(\left\{{}\begin{matrix}x-\dfrac{4}{7}< 0\\x+\dfrac{1}{2}< 0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x< \dfrac{4}{7}\\x< -\dfrac{1}{2}\end{matrix}\right.\) \(\Rightarrow x< -\dfrac{1}{2}\)
Vậy \(x>\dfrac{4}{7}\) hoặc \(x< -\dfrac{1}{2}\) thì thỏa mãn đề
d/ \(\left(2x-3\right):\left(x+1\dfrac{3}{4}\right)< 0\)
TH1: \(\left\{{}\begin{matrix}2x-3>0\\x+1\dfrac{3}{4}< 0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x>1,5\\x< -\dfrac{7}{4}\end{matrix}\right.\)(vô lý)
TH2: \(\left\{{}\begin{matrix}2x-3< 0\\x+1\dfrac{3}{4}>0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x< 1,5\\x>-\dfrac{7}{4}\end{matrix}\right.\)\(\Rightarrow-\dfrac{7}{4}< x< 1,5\)
Vậy...................
(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 \(x\in\left\{1;0;\frac{1}{2}\right\}\)