Giải phương trình:
1, 2(x\(^2\)+x+1)\(^2\)-7(x-1)\(^2\)=13(x\(^3\)-1)
2, (1+2x)\(^4\)+(1+x)\(^4\)=7x\(^4\)
3, (1+x)\(^4\)=2(1+x\(^4\))
4, x\(^2\)+(\(\dfrac{x}{x+1}\))\(^2\)=3
5, x\(^4\)+\(\sqrt{x^2}+1999\)=1999
6, \(\sqrt{x-2}\)=\(\dfrac{5x^2-10x+1}{x^2+6x-11}\)
7, \(\sqrt{x-2}\)+\(\sqrt{4-x}\)=x\(^2\)-6x+11
8, 2(x\(^2\)-3x+2)=3\(\sqrt{x^3+8}\)