\(\sqrt{30-\frac{5}{x^2}}+\sqrt{6x^2-\frac{5}{x^2}}=6x^2\)

\(\left\{{}\begin{matrix}\left(x+1\right)^2+y=xy+4\\4x^2-24x+35=5\left(\sqrt{3y-11}+\sqrt{y}\right)\end{matrix}\right.\)

\(\left\{{}\begin{matrix}x^2+y^2-xy=2\\x^3=x+y\end{matrix}\right.\)

\(\left(\sqrt{x+5}-\sqrt{x-2}\right)\left(1+\sqrt{x^2+3x-10}\right)=7\)

\(\left\{{}\begin{matrix}x+\sqrt{x^2-2x+5}=3y+\sqrt{y^2+4}\\x^2-y^2-3x+3y+1=0\end{matrix}\right.\)