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=> (x-7)^x+1 + 1.[1-(x-7)^10] = 0
=> x-7 = 0 hoặc 1-(x-7)^10 = 0
=> x=7 hoặc x = 8 hoặc x = 6
k mk nha
=> (x-7)x+1(1 - (x-7)10) = 0
=> (x-7)x+1 = 0
=> x-7 = 0 => x = 7
hoặc 1 - (x-7)10 = 0
=> (x-7)10 = 1
=> x-7 = 1
=> x = 8
\(\left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\)
\(\Leftrightarrow\left(x-7\right)^{x+1}.\left[1-\left(x-7\right)^{10}\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x-7\right)^{x+1}=0\\1-\left(x-7\right)^{10}=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-7=0\\\left(x-7\right)^{10}=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=7\\x=8\end{cases}}\)
\(\left(x-7\right)^{x+1}=\left(x-7\right)^{x+11}=0\)
\(\left(x-7\right)^{x+1}\left[1-\left(x-7\right)^{10}\right]=0\)
\(\Leftrightarrow\left(x-7\right)^{x+1}=0hay1-\left(x-7\right)^{10}=0\)
\(\Leftrightarrow\hept{\begin{cases}x-7=0\\\left(x-7\right)^{10}=1\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=7\\x-7=1\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=7\\x=\left\{6;8\right\}\end{cases}}\)
Vậy \(x\in\left\{6;8\right\}\)
\(.\left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\)
\(\Rightarrow x-7=0\)
\(\Rightarrow x=7\)
Vậy : x=7
\(\left(x-7\right)^{x+11}-\left(x-7\right)^{x+1}=0\)
\(\left(x-7\right)^{x+1}.\left(x-7\right)^{10}-\left(x-7\right)^{x+1}=0\)
\(\left(x-7\right)^{x+1}\left[\left(x-7\right)^{10}-1\right]=0\)
Th1 \(x-7=0\Rightarrow x=7\)
Th2 \(\left(x-7\right)^{10}-1=0\)
\(\left(x-7\right)^{10}=1\Rightarrow x-7=0\Leftrightarrow x=7\)
Vậy x=7
(x-7)x+1(1-(x-7)10)=0
=>(x-7)x+1=0 hoặc 1-(x-7)10=0
x-7=0 hoặc (x-7)10=1
x=7 hoặc /x-7/=1(/x-7/ là giá trị tuyệt đối của x-7)
x=7 hoặc x-7=1 hoặ x-7=-1
x=7 hoặc x-8 hoặc x=6
tick cho minh nha!!!
a. \(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\left|\left(-3,2\right)+\frac{2}{5}\right|\)\(\Leftrightarrow\left|x-\frac{1}{3}\right|=\left|-\frac{16}{5}+\frac{2}{5}\right|-\frac{4}{5}\)\(\Leftrightarrow\left|x-\frac{1}{3}\right|=\left|-\frac{14}{5}\right|-\frac{4}{5}\)\(\Leftrightarrow\left|x-\frac{1}{3}\right|=\frac{14}{5}-\frac{4}{5}\)\(\Leftrightarrow\left|x-\frac{1}{3}\right|=2\)
\(\Leftrightarrow\orbr{\begin{cases}x-\frac{1}{3}=2\\x-\frac{1}{3}=-2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{7}{3}\\x=-\frac{5}{3}\end{cases}.}\)
Vậy \(x\in\left\{-\frac{5}{3};\frac{7}{3}\right\}.\)
b. \(\left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\)\(\Leftrightarrow\left(x-7\right)^{x+1}-\left(x-7\right)^{x+1}\times\left(x-7\right)^{10}=0\)\(\Leftrightarrow\left(x-7\right)^{x+1}\left[1-\left(x-7\right)^{10}\right]=0\Leftrightarrow\orbr{\begin{cases}\left(x-7\right)^{x+1}=0\\1-\left(x-7\right)^{10}=0\end{cases}.}\)Xét 2 trường hợp:
- \(\left(x-7\right)^{x+1}=0\)\(\Leftrightarrow x-7=0\Leftrightarrow x=7.\)
- \(1-\left(x-7\right)^{10}=0\Leftrightarrow\left(x-7\right)^{10}=1\Leftrightarrow\left(x-7\right)^{10}=\left(\pm1\right)^{10}\)\(\Leftrightarrow\orbr{\begin{cases}x-7=1\\x-7=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=8\\x=6\end{cases}.}}\)
Vậy \(x\in\left\{6;7;8\right\}.\)
Tìm x biết:
\(\left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\)
\(\left(8x-1\right)^{2n+1}=5^{2n+1}\)
(x-7)x+1-(x-7)x+11=0
=>x-7=0
=>x=7
(8x-1)2n+1=52n+1
=>8x-1=5
=>8x=6
=>x=3/4
Tick Đúng Nha