Question

If (x-1/x)^2 = 81, then find x^2 + 1/x^2

Answer 1

Answer:

(x - 1/x)² = 81

(a - b)² = a² - 2ab + b²

(x - 1/x)² = x² - 2 × x × 1/x + 1/x²

81 = x² - 2 + 1/x²

81 + 2 = x² + 1/x²

83 = x² + 1/x²

HOPE THIS HELPS... :)