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Sticky Note
If x + 1/x = 5, then what is the value of x² + 1/x² = _____?
  1. 23
  2. 24
  3. 25
  4. None of these
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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