Question

Sabendo que x+ 1/x = 6 calcule o valor de x2 + 1/x2

Answer 1

x+ 1/x = 6

(x+ 1/x)² = (6)²

x² + 2.x.(1/x) + 1/x² = 36

x² + 2x/x + 1/x² = 36

x² + 2 + 1/x² = 36

x² + 1/x² = 36 -2

x² + 1/x² = 34