a, \(\left[{}\begin{matrix}x-1=1\\x-1=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\)
b, \(\left[{}\begin{matrix}5-x=-5\\5-x=5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=10\\x=0\end{matrix}\right.\)
a. \(\left(x-1\right)^2=1\)
\(\Leftrightarrow\left(x-1\right)^2=\left(\pm1\right)^2\)
TH1: \(x-1=1\)
\(\Leftrightarrow x=1+1\)
\(\Leftrightarrow x=2\)
TH2: \(x-1=\left(-1\right)\)
\(\Leftrightarrow x=\left(-1\right)+1\)
\(\Leftrightarrow x=0\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=0\end{cases}}\)
Vậy \(x=2\) hoặc \(x=0\)
b. \(\left(5-x\right)^2=25\)
\(\Leftrightarrow\left(5-x\right)^2=\left(\pm5\right)^2\)
TH1: \(5-x=5\)
\(\Leftrightarrow x=5-5\)
\(\Leftrightarrow x=0\)
TH2: \(5-x=\left(-5\right)\)
\(\Leftrightarrow x=5-\left(-5\right)\)
\(\Leftrightarrow x=10\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=10\end{cases}}\)
Vậy \(x=0\) hoặc \(x=10\)
HT
