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b.$x^{4}$+$\sqrt{x^{2}+2005}$=2005 <=>$x^{4}$+$x^{2}$+$\frac{1}{4}$=$x^{2}$+2005-$\sqrt{x^{2}+2005}$+$\frac{1}{4}$ <=>$(x^{2}+\frac{1}{2})^{2}$-$(\sqrt{x^{2}+2005}-\frac{1}{2})^{2}$=0 <=>($x^{2}$+$\sqrt{x^{2}+2005}$)($x^{2}$-$\sqrt{x^{2}+2005}$+1)=0 <=>$x^{2}$-$\sqrt{x^{2}+2005}$+1=0($x^{2}$+$\sqrt{x^{2}+2005}$$\ne$0) <=>$x^{2}$+2005-$\sqrt{x^{2}+2005}$+$\frac{1}{4}$=$\frac{8017}{4}$ <=>$(\sqrt{x^{2}+2005}-\frac{1}{2})^{2}$=$\frac{8017}{4}$ <=>$\sqrt{x^{2}+2005}$=$\pm$$\frac{\sqrt{8017}}{2}$+$\frac{1}{2}$ <=>$\sqrt{x^{2}+2005}$=$\frac{\sqrt{8017}}{2}$+$\frac{1}{2}$ ($\sqrt{x^{2}+2005}$>0) <=>$x^{2}$=$\frac{-1+\sqrt{8017}}{2}$ <=>$x$=$\pm$$\sqrt{\frac{-1+\sqrt{8017}}{2}}$
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