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\(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\left|\frac{-14}{5}\right|\)
\(\left|x-\frac{1}{3}\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{1}{3}=2\\x-\frac{1}{3}=-2\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{7}{3}\\-\frac{5}{3}\end{cases}}}\)
Vậy...
a,\(\left(x-\frac{7}{9}\right)^3=\left(\left(\frac{2}{3}\right)^2\right)^3\)
\(x-\frac{7}{9}=\frac{4}{9}\)
\(x=\frac{4}{9}+\frac{7}{9}\)
\(x=\frac{11}{9}\)
Vậy x=\(\frac{11}{9}\)
a) \(\left|x-\dfrac{1}{3}\right|+\dfrac{4}{5}=\left|\left(-3,2\right)+\dfrac{2}{5}\right|\)
\(\Rightarrow\left|x-\dfrac{1}{3}\right|+0,8=\left|-3,2+0,4\right|\)
\(\Rightarrow\left|x-\dfrac{1}{3}\right|+0,8=2,8\)
\(\Rightarrow\left|x-\dfrac{1}{3}\right|=2\)
\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{3}=2\\x-\dfrac{1}{3}=-2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{7}{3}\\x=\dfrac{-5}{3}\end{matrix}\right.\)
/2x+1/=3x+2
suy ra hai trường hợp 2x+1=3x+2 hoặc 2x+1=-3x-2
còn phần b thì đặt x+7chung bằng cách biến đổi và tách x-7
a) \(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\left|\left(-3,2\right)+\frac{2}{5}\right|\)
\(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\left|\frac{-16}{5}+\frac{2}{5}\right|\)
\(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\left|\frac{-14}{5}\right|\)
\(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\frac{14}{5}\)
\(\left|x-\frac{1}{3}\right|=\frac{14}{5}-\frac{4}{5}\)
\(\left|x-\frac{1}{3}\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{1}{3}=2\\x-\frac{1}{3}=-2\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{7}{3}\\x=\frac{-5}{3}\end{cases}}\)
làm tiếp câu a) nhé
b) \(\left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\)
\(\left(x-7\right)^{x+1}.\left[1-\left(x-7\right)^{10}\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(x-7\right)^{x+1}=0\\1-\left(x-7\right)^{10}=0\end{cases}}\Rightarrow\orbr{\begin{cases}x-7=0\\\left(x-7\right)^{10}=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=7\\x-7=1\end{cases}}\Rightarrow\orbr{\begin{cases}x=7\\x=8\end{cases}}\)
=> (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
\(\left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\)
\(\Leftrightarrow\left(x-7\right)^{x+1}.\left[1-\left(x-7\right)^{10}\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x-7\right)^{x+1}=0\\1-\left(x-7\right)^{10}=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-7=0\\\left(x-7\right)^{10}=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=7\\x=8\end{cases}}\)
\(\Rightarrow\left[x-7\right]^{x+1}\left[1-\left[x-7\right]^{10}\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left[x-7\right]^{x+1}=0\\1-\left[x-7\right]^{10}=0\end{cases}\Rightarrow}\orbr{\begin{cases}x-7=0\\1-\left[x-7\right]^{10}=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=7\\x-7=1\Rightarrow x=8\end{cases}}\)
\(\left(x-7\right)^{x+1}=\left(x-7\right)^{x+11}=0\)
\(\left(x-7\right)^{x+1}\left[1-\left(x-7\right)^{10}\right]=0\)
\(\Leftrightarrow\left(x-7\right)^{x+1}=0hay1-\left(x-7\right)^{10}=0\)
\(\Leftrightarrow\hept{\begin{cases}x-7=0\\\left(x-7\right)^{10}=1\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=7\\x-7=1\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=7\\x=\left\{6;8\right\}\end{cases}}\)
Vậy \(x\in\left\{6;8\right\}\)
=> (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
\(\Rightarrow\left(x-7\right)^{x+1}\left[1-\left(x-7\right)^{10}\right]=0\\ \Rightarrow\left[{}\begin{matrix}\left(x-7\right)^{x+1}=0\\1-\left(x-7\right)^{10}=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x-7=0\\\left(x-7\right)^{10}=1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=7\\x=8\end{matrix}\right.\)