If $$x + \frac{1}{x} = 3{\text{,}}$$ then the value of $$\frac{{{x^3} + \frac{1}{x}}}{{{x^2} - x + 1}}\,{\text{is?}}$$ Options: A . &nbsp$$\frac{3}{2}$$ B . &nbsp$$\frac{5}{2}$$ C . &nbsp$$\frac{7}{2}$$ D . &nbsp$$\frac{{11}}{2}$$

If $$x + \frac{1}{x} = 3{\text{,}}$$ then the value of $$\frac{{{x^3} + \frac

Question

If $$x + \frac{1}{x} = 3{\text{,}}$$ then the value of $$\frac{{{x^3} + \frac{1}{x}}}{{{x^2} - x + 1}}\,{\text{is?}}$$

Options:

A . $$\frac{3}{2}$$

B . $$\frac{5}{2}$$

C . $$\frac{7}{2}$$

D . $$\frac{{11}}{2}$$

Answer: Option C

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