Question

If `"a"  + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`

Answer 1

`"a"^2 - 1/"a"^2`

= `("a" + 1/"a")("a" - 1/"a")`

= (6)`(±4sqrt(2))`

= ±24`sqrt(2)`.