1.$\frac{9}{\sqrt{x-19}}+\frac{16}{\sqrt{y-5}}+\frac{25}{\sqrt{z-91}}=24-\sqrt{x-19}-\sqrt{y-5}-\sqrt{z-91}$
2.$x\sqrt{y-1}+2y\sqrt{x-1}=\frac{3}{2}xy$
3.$\sqrt{x^{2}-4x+8}+\sqrt[4]{2y^{2}+12y+19}=3$
4.$\frac{x^{2}}{2}-\frac{y^{2}}{2}+x+2y+\frac{1}{2}=\sqrt{(x^{2}+2x+3)(-y^{2}+4y-2)}$
5.$\sqrt{5-x^{6}}=\sqrt[3]{3x^{4}-2}+1$