Question

if the average of two numbers is x and 1/x (where x is not equal to zero) is A , thenwhat will be the average of x^3+1/x^3?

Answer 1

Answer:

4a^3-3a

Step-by-step explanation:

(x+1/x)/2=a

x+1/x=2a------1

cubing both sides

x^3+1/x^3+3x*1/x(x+1/x)=8a^3

x^3+1/x^3=8a^3-3(2a)[from 1]

(x^3+1/x^3)/2=4a^3-3a