Find all n∈Z such that n^2 + 8n + 55 is a square integer

[@PunmasterSTP]

I had a hunch factoring was going to come into play somewhere, but didn't immediately realize that completing the square would be helpful. This was a cool demonstration!
Also, why did you include the hummingbird in the top left of the first slide, and what is the background image?

[@MyOneFiftiethOfADollar]

Thanks, I also liked the way complete the square was key in the solution process.
We have lots of hummingbirds in our backyard. I am fascinated by them and the way they can scare off much bigger birds!
I think the background image is kind of a fractal rendition of a female ghost, but not sure.

[@PunmasterSTP]

@@MyOneFiftiethOfADollar That's cool! I like hummingbirds too, though we don't have any in our backyard. A fractal rendering of a female ghost sounds interesting.