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Question Number 186750 by pascal889 last updated on 09/Feb/23

Answered by Frix last updated on 09/Feb/23

$$\frac{1+{(x-\frac{1}{2})}^4+{(x+\frac{1}{2})}^4}{1+{(x-\frac{1}{2})}^2+{(x+\frac{1}{2})}^2}=\frac{2x^4+3x^2+\frac{9}{8}}{2x^2+\frac{3}{2}}=$$$$=\frac{{(x^2+\frac{3}{4})}^2}{(x^2+\frac{3}{4})}=x^2+\frac{3}{4}$$$$x=2009.5\Rightarrow \mathrm{answer}\mathrm{is}4038091$$

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