Question

If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :

`"a"  + (1)/"a"`

Answer 1

Dividing the given equation by a, we get:

`"a"^2/"a" - (7"a")/"a" + 1/"a" = 0, "a" - 7 + 1/"a" = 0`

⇒ `"a" + (1)/"a"` = 7.