Question

if a-1/a=1, find the value of a^6-1/a​

Answer 1

Answer:

There is an identity that (A. M. of two numbers) >= (their G. M. )

So if you apply it here : (a+1/a)/2 >= sqrt(a*1/a)

Turns out: a+1/a >=2 for all values of a.

So a+1/a =1 has no real solution.