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
