The product of 2 consecutive integers is 306

Two consecutive positive integers are 17 and 18. Or - 17 and - 18.

Step-by-step explanation:

Let the consecutive integers be x and x+1

x (x+1) = 306 - -> x^2 + x-306=0

x^2+18x-17x-306=0

x (x+18) - 17 (x+18) = 0

or

(x-17) (x+18) = 0