If $$x + \frac{1}{x} = 2$$ and x is real, then the value of $${x^{17}}{\text{

Question

If $$x + \frac{1}{x} = 2$$ and x is real, then the value of $${x^{17}}{\text{ + }}\frac{1}{{{x^{19}}}}\,{\text{is?}}$$

Options:

A . 1

B . 0

C . 2

D . -2

Answer: Option C

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