If x + 1/x = 10, then what is the value of x² + 1/x²?
- 100
- 98
- 102
- None of these
Explanation
Given x + 1/x = 10:
Step 1: Square both sides
(x + 1/x)² = 10²
x² + 2(x)(1/x) + 1/x² = 100
x² + 2 + 1/x² = 100
Step 2: Solve for x² + 1/x²
x² + 1/x² = 100 - 2
x² + 1/x² = 98
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