Giải phương trình:
a)\(3\cdot\left(x^2-x+1\right)=8\cdot\left(x^3+x\right)\)
b) \(x^2+2x\cdot\sqrt{x-\frac{1}{x}}=3x+1\)
c) \(x^2+\sqrt[4]{x^4-x^2}=2x+1\)
d) \(\sqrt{x-1}+\sqrt{3-x}+4x\cdot\sqrt{2x}=x^3+10\)
e) \(\sqrt{2-x^2}+\sqrt{2-\frac{1}{x^2}}=4-\left(x+\frac{1}{x}\right)\)