\(\sqrt{3}x^2-\sqrt{12}=0\) (1)
\(\Leftrightarrow\sqrt{3}x^2=\sqrt{12}\)
\(\Leftrightarrow\sqrt{3}x^2=2\sqrt{3}\)
\(\Leftrightarrow x^2=2\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\sqrt{2}\\x=-\sqrt{2}\end{matrix}\right.\)
Vậy tập nghiệm phương trình (1) là \(S=\left\{-\sqrt{2};\sqrt{2}\right\}\)
\(\sqrt{3}x^2-\sqrt{12}=0\)
\(\Leftrightarrow\sqrt{3}x^2-2\sqrt{3}=0\)
\(\Leftrightarrow\sqrt{3}\left(x^2-2\right)=0\)
\(\Leftrightarrow x^2=2\Leftrightarrow\left[{}\begin{matrix}x=\sqrt{2}\\x=-\sqrt{2}\end{matrix}\right.\)
\(\Rightarrow S=\left\{\sqrt{2};-\sqrt{2}\right\}\)
