Remember that the formula for the difference of squares is [tex]a^2 - b^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are expressions or values.
In this case, we have two expressions, [tex]x[/tex] and [tex](x + 2)[/tex]. We are also given that their difference of squares is 4444. Using the formula, we can say:
[tex](x + 2)^2 - x^2 = 4444[/tex]
Now, we can solve for [tex]x[/tex]:
[tex](x + 2)^2 - x^2 = 4444[/tex]
[tex](x^2 + 4x + 4) - x^2 = 4444[/tex]
[tex]4x + 4 = 4444[/tex]
[tex]4x = 4440[/tex]
[tex]x = 1110[/tex]
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 [tex](x + 2)[/tex], is equal to 1112.
Our two numbers are 1110 and 1112.
