x2-6x+4=0\(\Leftrightarrow\) (x2-6x+9)-5=0 \(\Leftrightarrow\) (x-3)2-(\(\sqrt{5}\))2=0 \(\Leftrightarrow\) (x-3-\(\sqrt{5}\))(x-3+\(\sqrt{5}\))=0 \(\Leftrightarrow\left[\begin{matrix}x-3-\sqrt{5}=0\\x-3+\sqrt{5}=0\end{matrix}\right.\Leftrightarrow\left[\begin{matrix}x=3+\sqrt{5}\\x=3-\sqrt{5}\end{matrix}\right.\)
vậy pt có nghiệm là x=3+\(\sqrt{5}\)hoặc x= 3-\(\sqrt{5}\)
Tìm Delta
\(\Delta=6^2-4.4=20\Rightarrow\sqrt{\Delta}=\sqrt{20}\)
x1=\(\frac{-6-\sqrt{20}}{2}=-3-\sqrt{5}\)
x2=\(\frac{-6+\sqrt{20}}{2}=-3+\sqrt{5}\)