Question

Answer 1

a)\(\sqrt{x}\)-1=0\(\Leftrightarrow\)\(\sqrt{x}\)=1\(\Leftrightarrow\)x=1

b)\(\sqrt{\left(x-4\right)^2}\)=2x+1\(\Leftrightarrow\)|x-4|=2x+1

\(\Leftrightarrow\)\(\left\{{}\begin{matrix}x-4=2x+1\\-\left(x-4\right)=2x+1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-2x=1+4\\-x-2x=1-4\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}-x=5\\-3x=-3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-5\\x=1\end{matrix}\right.\)