If x + 1/x = 10, then what is the value of x² + 1/x²?
If x + 1/x = 10, then what is the value of x² + 1/x²?
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