Giải phương trình:
1. $\sqrt{5x-1}+\sqrt[3]{9-x}=2x^2+3x-1$
2. $2\sqrt{x^2+3}-\sqrt{8+2x-x^2}=x$
3. $x^3+6x^2-2x+3=(5x-1)\sqrt{x^3+3}$
4. $\sqrt{x^2-9x+24}-\sqrt{6x^2-59x+149}=5-x$
5. $\sqrt{2x-3}-\sqrt{x}=2x-6$
6. $2(1-x)\sqrt{x^2+2x-1}=x^2-2x-1$