Question

Tìm x biết : \(x\sqrt{2}+\sqrt{18}=x\sqrt{18}+\sqrt{27}\)

Answer 1

\(x\sqrt{2}-x\sqrt{18}=\sqrt{27}-\sqrt{18}\Leftrightarrow x\sqrt{2}\left(1-3\right)=3\sqrt{3}-3\sqrt{2}\Leftrightarrow-2x\sqrt{2}=3\left(\sqrt{3}-\sqrt{2}\right)\)

\(\Leftrightarrow x=\frac{-3\left(\sqrt{3}-\sqrt{2}\right)}{2\sqrt{2}}\)