if x2 + 1 / x2 = 23 then find the value of x3 + 1/ x3 - Maths - Number Systems

Question

if x2 + 1 / x2 = 23 then find the value of
x3 + 1/ x3

Maddie · Accepted Answer

x2 + 1/x2 = 23
x2+ 1/x2 + 2= 25
(x+1/x)2 = 25
x+1/x = 5 --- (1)
(x+1/x)3 = 53
x3 + 1/x3 + 3(x+1/x) = 125
Put the value of (1)
x3 + 1/x3 + 3*5 = 125
x3 + 1/x3 = 125 - 15 = 110