ĐK : \(x\ge0\)
\(x+1+\sqrt{x^2-4x+1}=3\sqrt{x}\Leftrightarrow \left ( 2x+2-5\sqrt{x} \right )+\left ( 2\sqrt{x^2-4x+1}-\sqrt{x} \right )=0\)
\(\Leftrightarrow\)\(\left ( 4x^2-17x+4 \right )\left ( \frac{1}{2x+2+5\sqrt{x}}+\frac{1}{2\sqrt{x^2-4x+1}+\sqrt{x}} \right )=0\)
\(\Leftrightarrow 4x^2-17x+4=0\Leftrightarrow x=4\)