Question

Dado que x+1/×=4 obtenha o valor numérico de x3+1/×3

Answer 1

Resposta:

x+1/x=4

(x+1/x)³=4³

x³+3*x²*1/x+3*x*1/x²+1/x³=64

x³+3x+3/x+1/x³=64

x³+3*(x+1/x)+1/x³=64

x³+3*4+1/x³=64

x³+1/x³+3*4=64

x³+1/x³=64-12

x³+1/x³=52