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Basic Mathematics QUESTION #2855
Question 1
If \(x + \dfrac{1}{x} = 5\), find \(x^2 + \dfrac{1}{x^2}\).
  • 23✔️
  • 25
  • 27
  • 29
Correct Answer Explanation
\(\left(x + \dfrac{1}{x}\right)^2 = x^2 + 2 + \dfrac{1}{x^2}\). So \(25 = x^2 + 2 + \dfrac{1}{x^2} \Rightarrow x^2 + \dfrac{1}{x^2} = 23\).