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