Question

if x+1/x=5(x≠0), then find the value of x³+1/x³​

Answer 1

Step-by-step explanation:

x+1/x=5

Squaring on both sides

(x+1/x)²=5²

x²+1/x²+2(x)(1/x)=25

x²+1/x²+2=25

x²+1/x²=25-2

x²+1/x²=23

x+1/x=5

Cubing on both sides

(x+1/x)³=5³

x³+1/x³+3(x)(1/x)(x+1/x)=125

x³+1/x³+3(1)(5)=125

x³+1/x³+15=125

x³+1/x³=125-15

x³+1/x³=110