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If \(x^2 + \frac{1}{x^2} = 23\), then find the value of \(x + \frac{1}{x}\) and \(x^3 + \frac{1}{x^3}\).
 
Answer:
 
\(x + \frac{1}{x} =\) ,
 
\(x^3 + \frac{1}{x^3} =\) ,