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

Question

Accepted Answer

Step 1: Use the identity (x + 1/x)² = x² + 2 + 1/x². Step 2: Substitute x + 1/x = 5: (5)² = x² + 2 + 1/x². Step 3: 25 = x² + 1/x² + 2. Step 4: x² + 1/x² = 25 - 2 = 23. Therefore, the answer is 23.

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