Question

please answer this question​

Answer 1

x + (1/x) = 5 ——> 1

Cubing on both sides,

(x + (1/x))^3 = 5^3

x^3 + 3*x^2*(1/x) + 3*x*(1/x)^2 + (1/x)^3 = 125

x^3 + 3*x + 3*(1/x) + (1/x)^3 = 125

x^3 + (1/x)^3 + 3*x + 3*(1/x) = 125

x^3 + (1/x)^3 + 3*(x + (1/x)) = 125

x^3 + (1/x)^3 + 3*(5) = 125 [From 1]

x^3 + (1/x)^3 + 15 = 125

x^3 + (1/x)^3 = 125 - 15 = 110

x^3 + (1/x)^3 = 110 ——> Answer