Find two consecutive even whole numbers whose product is 288

Let's write an equation describing the problem.

Any even whole number may be represented by writing  in which  is any non-negative integer.

It follows that for a even whole number the next (consecutive) even whole number can be written as .

We now need to solve the following equation:



If we solve for we get:



We have to values, as the equation is quadratic. We take the positive one as the correct one. So , and if we plug in this value to and we know that the asnwer is 16 and 18.

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