The product of two consecutive odd integers is 783. how do you find the integers?

We can represent the integers with x and x + 2. The reason why the second number is x+2 is that odd numbers are 2 integers away from each other.

x (x+2) = 783

x^2 + 2x - 783 = 0

(x - 27) (x + 29) = 0

The consecutive odd integers could either be 27 and 29, or - 29 and - 27