The product of two positive consecutive integers is 132. find the integers.

X (x+1) = 132

x^2+x = 132

x^2+x-132 = 0

Factoring this gets you

(x+12) (x-11) = 0

x = 11 only because x = - 12 is negative and you’re looking for positive integers

x+1

11+1

12

The two integers are 11 and 12