[tex]x^{2}+\sqrt{2x^{2}-x+1}+2=x(3+\sqrt{2x^{2}-x+1})\\ \Leftrightarrow x^{2}+\sqrt{2x^{2}-x+1}+2=3x+x\sqrt{2x^{2}-x+1}\\ \Leftrightarrow x^{2}-3x+2=x\sqrt{2x^{2}-x+1}-\sqrt{2x^{2}-x+1}\\ \Leftrightarrow (x-1)(x-2)=(x-1)\sqrt{2x^{2}-x+1}\\ \Leftrightarrow ...[/tex]