\(2x^2-6x+1=0\)
\(\Leftrightarrow4x^2-12x+2=0\)
\(\Leftrightarrow\left(2x\right)^2-2.2x.3+9=7\)
\(\Leftrightarrow\left(2x-3\right)^2=7\)
\(\Leftrightarrow2x-3=\pm\sqrt{7}\)
\(\Leftrightarrow2x=\pm\sqrt{7}+3\)
\(\Leftrightarrow x=\dfrac{\pm\sqrt{7}+3}{2}\)
Vậy ...
`2x^2 - 6x + 1 = 0`
`Δ' = \(\left(\dfrac{b}{2}\right)^2-ac\) = 3^2 - 2.1 = 7 > 0`
=> Phương trình có 2 nghiệm phân biệt
\(\left[{}\begin{matrix}x=\dfrac{-\dfrac{b}{2}+\sqrt{\Delta}}{2}=\dfrac{3+\sqrt{7}}{2}\\x=\dfrac{-\dfrac{b}{2}-\sqrt{\Delta}}{2}=\dfrac{3-\sqrt{7}}{2}\end{matrix}\right.\)
Vậy ....
