\(\sqrt{x-1}+\sqrt{4}\sqrt{x-1}+\sqrt{9}\sqrt{x-1}=12\)
\(\Rightarrow1\sqrt{x-1}+2\sqrt{x-1}+3\sqrt{x-1}=12\)
\(\Rightarrow\left(1+2+3\right)\sqrt{x-1}=12\)
\(\Rightarrow6\sqrt{x-1}=12\)
\(\Rightarrow\sqrt{x-1}=2\)
\(\Rightarrow\sqrt{x-1}=\sqrt{4}\)
\(\Rightarrow x-1=4\)
\(\Rightarrow x=5\)
=>6*căn x-1=12
=>căn x-1=2
=>x-1=4
=>x=5