The difference of the squares of two positive consecutive even integers is 84. Find the integers.

Applying the difference of squares, and solving the equation, it is found that the numbers are 20 and 22.

----------------------

Expanding the difference:

----------------------

The difference is 84, thus:

Now, we solve for n.

----------------------

Thus, the numbers are: and

A similar problem is given at link

The two integers are 20 and 22.

Step-by-step explanation:

Let x be the first integer.

for b its (t) and c its (d)

step-by-step explanation:

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.