Chapter PS, Problem 3.6P

To determine

To find: The consecutive even integers.

Answer to Problem 3.6P

The consecutive even integers are $64\text{ and }66$ .

Explanation of Solution

Given information:

The product of two consecutive even integers is $4224$ .

Consider two consecutive even integers are $x$ and $x+2$ .

The consecutive even integers are calculated as,

  $\begin{array}{l}x\left(x+2\right)=4224\\ x^2+2x-4224=0\\ x=64\text{ and }66\end{array}$

Thus, the consecutive even integers are $64\text{ and }66$ .