Question

if x+1/x=7 find the value of x^3+1/x^3​

Answer 1

Answer:

2 or 216.005

Step-by-step explanation:

x+1/x = 7

x^2+1 = 7x

x^2-7x+1

x^2-6x-x+1

x (x-6) -1(x-1)

(x-6)(x-1)

The value of x will either be 1 or 6

Considering 1 as the value of x

1^3+1/1^3

= 1+1

=2

Considering 6 as the value of x

6^3+1/6^3

=216+1/216

=(46656+1)/216

=46657/216

=216.005