\(\left(x-1\right)^2-2\sqrt{x^2-2x}-4=0\)

\(\sqrt{5-3x}+\sqrt{x+1}=\sqrt{3x^2-4x+4}\)

\(x^2+5x+8=3\sqrt{2x^3+5x^2+7x+6}\)

\(2\left(x+1\right)^2=9x\left(\sqrt{x+2}-1\right)^2\)

\(\left(\sqrt{2x+5}-\sqrt{2x+2}\right)\left(1+\sqrt{4x^2+14x+10}\right)=3\)

\(3\sqrt{x^2-\frac{1}{4}+\sqrt{x^2+x+\frac{1}{4}}}=\frac{1}{2}\left(2x^3+x^2+2x+1\right)\)

\(x^2-\sqrt{x^3+x}=6x-1\)