\(\left(x-1\right)^2+\left(-3\right)^2=5^2\cdot\left(-1\right)^{100}=25\)
=>(x-1)2=16
=>x-1=4 hoặc x-1=-4
=>x=5 hoặc x=-3
`(x-1)^2 + (-3)^2 = 5^2 xx (-1)^100`
`=> (x-1)^2 + 9 = 25 xx 1`
`=> (x-1)^2 + 9 = 25`
`=> (x-1)^2 = 25 - 9`
`=> (x-1)^2 = 16`
\(=>\left[{}\begin{matrix}\left(x-1\right)^2=4^2\\\left(x-1\right)^2=-4^2\end{matrix}\right.\)
\(=>\left[{}\begin{matrix}x-1=4\\x-1=-4\end{matrix}\right.\)
\(=>\left[{}\begin{matrix}x=4+1\\x=-4+1\end{matrix}\right.\)
\(=>\left[{}\begin{matrix}x=5\\x=-3\end{matrix}\right.\)
\(\left(x-1\right)^2+\left(-3\right)^2=5^2.\left(-1\right)^{100}\)
\(\Leftrightarrow\left(x-1\right)^2+9=25\)
\(\Leftrightarrow\left(x-1\right)^2=16\)
\(\Rightarrow x-1=4\Leftrightarrow x=5\)
