\(\sqrt{3x^2-1}+\sqrt{x^2-x}-x\sqrt{x^2+1}=\frac{1}{2\sqrt{2}}\left(7x^2-x+4\right)\)
\(\Leftrightarrow2\sqrt{2}\left(\sqrt{3x^2-1}+\sqrt{x^2-x}-x\sqrt{x^2+1}\right)=7x^2-x+4\)
\(\Leftrightarrow\left[\left(3x^2-1\right)-2\sqrt{2}\sqrt{3x^2-1}+2\right]+\left[\left(x^2-x\right)-2\sqrt{2}\sqrt{x^2-x}+2\right]+\left[2x^2+2\sqrt{2}x\sqrt{x^2+1}+\left(x^2+1\right)\right]=0\)
\(\Leftrightarrow\left(\sqrt{3x^2-1}-\sqrt{2}\right)^2+\left(\sqrt{x^2-x}-\sqrt{2}\right)^2+\left(\sqrt{x^2+1}+\sqrt{2}x\right)^2=0\)
Làm nốt