Question

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

Answer 1

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