\(6x^2-2\sqrt{3}x+2=0\)
Ta có : \(6x^2-2\sqrt{3}x+2\)
\(=6\left(x^2-\dfrac{1}{3}\sqrt{3}x+\dfrac{1}{3}\right)\)
\(=6\left(x^2-2x.\left(\dfrac{1}{6}\sqrt{3}\right)+\dfrac{1}{12}\right)+\dfrac{3}{2}\)
\(=6\left(x-\dfrac{\sqrt{3}}{6}\right)^2+\dfrac{3}{2}\ge\dfrac{3}{2}\)
\(=>0\ge\dfrac{3}{2}\left(vô.lí\right)\)
Vậy phương trình vô nghiệm .