Question

if x+1/x=6 find the value of x2+1/x3

Answer 1

Answer:

Step-by-step explanation:

(x + 1/x)^2 = 6^2

x^2 + 2(x)(1/x) + (1/x)^2 = 36

x^2 + 2 + 1/x^2 = 36

x^2 + 1/x^2 = 36 - 2

x^2 + 1/x^2 = 34

if u want this

(x + 1/x)^3 = 6^3

x^3 + 1/x^3 + 3(x)(1/x)(x + 1/x) = 216

x^3 + 1/x^3 + 3(6) = 216

x^3 + 1/x^3 + 18 = 216

x^3 + 1/x^3 = 216 - 18

x^3 + 1/x^3 = 198