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datnickgiday


1.[TEX]\left\{\begin{matrix}x+6\sqrt{xy}-y=6\\ x+\frac{6(x^3+y^3)}{x^2+xy+y^2}-\sqrt{2(x^2+y^2)}=3\end{matrix}\right.[/TEX]
2.[TEX]\left\{\begin{matrix}\sqrt{xy+(x-y)(\sqrt{xy}-2)}+\sqrt{x}=y+\sqrt{y}\\ (x+1)(y+\sqrt{xy}+x(1-x))=4\end{matrix}\right.[/TEX]
3.[TEX]\sqrt[3]{6x-3x^{2007}}=x^3-x-3[/TEX]
4.[TEX]\sqrt[3]{25x(2x^2+9)}=\frac{1}{\sqrt{3}}(2x^2+\frac{9}{2x^2})+\frac{5\sqrt{3}}{2} x^3-3x=\sqrt{x+2}[/TEX]
5.[TEX]6(x-1)\sqrt{x+1}+(x^2+2)(\sqrt{x-1}-3)=x(x^2+2)[/TEX]
6.[TEX]2\sqrt{4x^2-x+1}-\sqrt{9x^2-4x+4}=3\sqrt[3]{2x^2-x^3}-2x[/TEX]
2.[TEX]\left\{\begin{matrix}\sqrt{xy+(x-y)(\sqrt{xy}-2)}+\sqrt{x}=y+\sqrt{y}\\ (x+1)(y+\sqrt{xy}+x(1-x))=4\end{matrix}\right.[/TEX]
3.[TEX]\sqrt[3]{6x-3x^{2007}}=x^3-x-3[/TEX]
4.[TEX]\sqrt[3]{25x(2x^2+9)}=\frac{1}{\sqrt{3}}(2x^2+\frac{9}{2x^2})+\frac{5\sqrt{3}}{2} x^3-3x=\sqrt{x+2}[/TEX]
5.[TEX]6(x-1)\sqrt{x+1}+(x^2+2)(\sqrt{x-1}-3)=x(x^2+2)[/TEX]
6.[TEX]2\sqrt{4x^2-x+1}-\sqrt{9x^2-4x+4}=3\sqrt[3]{2x^2-x^3}-2x[/TEX]