Question

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.

Answer 1

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