Đáp án: $\left[\begin{array}{l}x=11,35206394\\x=1,406050396\end{array}\right.$
 
Giải thích các bước giải:
 $x^2-14x+12+4\sqrt{2x}-1=0\\\Leftrightarrow (x^2-14x+12-1)^2-16(2x)=0\\\Leftrightarrow x^4-28x^3+218x^2-340x+121=0\\\Leftrightarrow \left[\begin{array}{l}x=14,72714179\\x=0,5147438736\\x=11,35206394\\x=1,406050396\end{array}\right.\\\Leftrightarrow \left[\begin{array}{l}x=11,35206394\\x=1,406050396\end{array}\right.$