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Question
If $$x + \frac{1}{x} = 5{\text{,}}$$   then the value of $$\frac{{{x^4} + 3{x^3} + 5{x^2} + 3x + 1}}{{{x^4} + 1}} = ?$$
Options:
A .  $$\frac{{43}}{{23}}$$
B .  $$\frac{{47}}{{21}}$$
C .  $$\frac{{41}}{{23}}$$
D .  $$\frac{{45}}{{21}}$$
Answer: Option A

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