Question

( \(x\) - 1 ) \(^2\) = 5

Answer 1

\(\Leftrightarrow\left[{}\begin{matrix}x-1=\sqrt{5}\\x-1=-\sqrt{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\sqrt{5}+1\\x=-\sqrt{5}+1\end{matrix}\right.\)

Answer 2

\(\left(x-1\right)^2=5\)

\(\Rightarrow\left(x-1\right)^2=\pm\left(\sqrt{5}\right)^2\)

\(\rightarrow\left[{}\begin{matrix}x-1=\sqrt{5}\\x-1=-\sqrt{5}\end{matrix}\right.\) \(\rightarrow\left[{}\begin{matrix}x=\sqrt{5}+1\\x=-\sqrt{5}+1\end{matrix}\right.\)

Answer 3

`(x-1)^2=5`

\(\Rightarrow\left[{}\begin{matrix}x-1=\sqrt{5}\Rightarrow x=\sqrt{5}+1\\x-1=-\sqrt{5}\Rightarrow x=-\sqrt{5}+1\end{matrix}\right.\)

Answer 4

`=>(x-1)^2=(+-2,5)^2`

`=>[(x-1=2.5),(x-1=-2.5):}`

`=>[(x=3.5),(x=-1.5):}`