Question

if x+1/x=5 find x³+1/x³​

Answer 1

Step-by-step explanation:

given: x+1/x=5

need to find= x^3+1/x^3

firstly, we know that: (x+1/x)^2= x^2+1/x^2+2

by putting the value of x+1/x in above equation....

(5)^2= x^2+1/x^2+2

so, x^2+1/x^2= 25-2

so, x^2+1/x^2= 23

we know that, (x^3+1/x^3)= (x+1/x)(x^2+1/x^2-1)

so, putting the values of x+1/x and x^2+1/x^2 in above equation...

(x^3+1/x^3)= (5)(23-1)

so, (x^3+1/x^3)= 110

hope it helps you!

Answer 2

Answer:

The answer is 110.......