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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
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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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)
\(\Leftrightarrow x>3\)
\(\left(2x-3\right)^4=81\)
\(< =>\left(2x-3\right)^4=3^4\)hoặc \(< =>\left(2x-3\right)^4=\left(-3\right)^4\)
\(< =>2x-3=3\) hoặc \(< =>2x-3=3\)
\(< =>2x=6\) hoặc \(< =>2x=0\)
\(< =>x=3\) hoặc \(< =>x=0\)
Vậy \(x=3\)hoặc \(x=0\)
(2x-3)4=81
Mà: 34=81 và (-3)4=81
=> (2x-3)4=34 hoặc (2x-3)4=(-3)4
=> 2x-3=3 hoặc 2x-3= -3
=> 2x=6 hoặc 2x=0
=>x=3 hoặc x=0
(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
a) [2x] = -1\(\Rightarrow-1\le2x< 0\Rightarrow-0,5\le x< 0\)
b) [x + 0,4] = 3\(\Rightarrow3\le x+0,4< 4\Rightarrow2,6\le x< 3,6\)
c)\(\left[\frac{2}{3}x-5\right]=3\Rightarrow3\le\frac{2}{3}x-5< 4\Rightarrow8\le\frac{2}{3}x< 9\Rightarrow12\le x< 13,5\)
Từ bài trên,ta có :\(\left[x\right]=y\Rightarrow y\le x< y+1\left(x\in Q;y\in Z\right)\)
a, 0,4 : x = x : 0,9
<=> x2 = 0,4 . 0,9
<=> x2 = 0,36
<=> x = 0,6 hoặc -0,6
b, \(13\frac{1}{3}\div1\frac{1}{3}=26\div\left(2x-1\right)\)
\(\Leftrightarrow\frac{40}{3}\div\frac{4}{3}=26\div\left(2x-1\right)\)
\(\Leftrightarrow10=26\div\left(2x-1\right)\)
\(\Leftrightarrow2x-1=\frac{13}{5}\)
\(\Leftrightarrow2x=\frac{18}{5}\)
\(\Leftrightarrow x=\frac{9}{5}\)
c, \(0,2\div1\frac{1}{5}=\frac{2}{3}\div\left(6x+7\right)\)
\(\Leftrightarrow\frac{1}{5}\div\frac{6}{5}=\frac{2}{3}\div\left(6x+7\right)\)
\(\Leftrightarrow\frac{1}{6}=\frac{2}{3}\div\left(6x+7\right)\)
\(\Leftrightarrow6x+7=4\)
\(\Leftrightarrow6x=-3\)
\(\Leftrightarrow x=\frac{-1}{2}\)
d, \(\frac{37-x}{x+13}=\frac{3}{7}\)
\(\Leftrightarrow7\left(37-x\right)=3\left(x+13\right)\)
\(\Leftrightarrow259-7x=3x+39\)
\(\Leftrightarrow-10x=-220\)
\(\Leftrightarrow x=22\)
\(\left(2x+1\right)^3=-0,001\)
\(\Rightarrow\left(2x+1\right)^3=\left(-0,1\right)^3\)
\(\Rightarrow2x+1=-0,1\)
\(\Rightarrow2x=-\frac{1}{10}-1\)
\(\Rightarrow2x=-\frac{11}{10}\)
\(\Rightarrow x=-\frac{11}{10}:2\)
\(\Rightarrow x=-\frac{11}{10}.\frac{1}{2}=-\frac{11}{20}\)
-11/20