If a - (6/a) = 1, find value of 6/ (a² - a - 1).

Question: If a - (6/a) = 1, find value of 6/ (a² - a - 1).
Solution:
Given,
a - (6/a) = 1
(a² - 6)/a = 1
a² - 6 = a
∴ a² - a = 6

Now,
6/(a² - a - 1)
= 6/(6 - 1)
= 6/5