Question

[Mo Mi Sa]

Giải phương trình:

1) \(x^4-2\sqrt{3}x^2+x+3-\sqrt{3}=0\)

2)\(\dfrac{1}{1+\sqrt{2x^2+1}}\)+\(\dfrac{\sqrt{x^2+1}}{1+\sqrt{x^2+1}}\)-\(\dfrac{32}{\sqrt{2\sqrt{2x^2+1}\left(1+\sqrt{2x^2+1}\right)+2\sqrt{\dfrac{1}{x^2+1}}\left(1+\sqrt{\dfrac{1}{x^2+1}}\right)+8}}\)= -7

3)\(2x^2\left(x-1\right)+x=\left(x-1\right)\sqrt{2x\left(x^2-x+2\right)}+6\)