The difference of the squares of two positive consecutive even integers is 4444. find the integers. use the fact that, if x represents an even integer, then xplus+2 represents the next consecutive even integer.

Remember that the formula for the difference of squares is , where and are expressions or values.

In this case, we have two expressions, and . We are also given that their difference of squares is 4444. Using the formula, we can say:

Now, we can solve for :

We now know that the first number is 1110. To find the second number, we must add 2 to the first number, which means that the second number, represented by , is equal to 1112.

Our two numbers are 1110 and 1112.

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