The difference of the squares of two positive consecutive even integers is 12. find the integers. use the fact that, if x represents an even integer, then x+2 represents the next consecutive even integer.

To solve the problem we must find the value of x using the following expression:

(x + 2) ^ 2 - x ^ 2 = 12

Resolving we have:

(x ^ 2 + 4x + 4) - x ^ 2 = 12

4x + 4 = 12

x = (12-4) / 4

x = 8/4

x = 2

the integers are:

x + 2 = 2 + 2 = 4

x = 2

answer:

the integers are 4 and 2