Two consecutive integers of -249 square root

Answer 1

two consecutive integers, 124 +125 sum to 249

two other consecutive integers sum to -124+ (-125) = -249

or two consecutive numbers whose difference = -249

an infinite number of possibilites such as

-498 and -249: -498-(-249) = -249

or -10498 and -10249 = -249

no two consecutive integers have a product or quotient of 249 or -249

it's unclear if "square root" was a typo.

249 is not a perfect square so it's unclear how you'd get an integer out of it

it doesn't seem to fit within the general or common type of problems involving consecutive integers