Giải phương trình:
1) $\sqrt[3]{x} + \sqrt[3]{2x + 3} = \sqrt[3]{12(x-1)}$
2) $\sqrt[3]{x^3 + 1} - \sqrt[3]{x-1} = \sqrt[6]{x^2-1}$
3) $\sqrt{x^2+1} - \frac{1}{\sqrt{x^2-\frac{2}{3}}}= x$
4) $\sqrt[3]{2x-1} = x\sqrt[3]{16} - \sqrt[3]{2x+1}$
5) $x + \frac{x}{\sqrt{x^2-1}}\geq \frac{35}{12}$
