Answer:
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