If x + 1/x = 5, then what is the value of x² + 1/x² = _____?

FPSC Past Papers / All — Multiple-choice practice

  1. A. 24
  2. B. 25
  3. C. 23
  4. D. None of these

Correct answer

23

Explanation

Explanation Given x + 1/x = 5 To find x² + 1/x²: (x + 1/x)² = x² + 2(x)(1/x) + 1/x² = x² + 2 + 1/x² x² + 1/x² = (x + 1/x)² - 2 = 5² - 2 = 25 - 2 = 23

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