The product of two consecutive even integers is 224. what are the 4 integers?

2*112

4*56

8*28

14*16

-16 and - 14

14 and 16

Step-by-step explanation:

Let's say x is the smaller integer and x+2 is the larger integer. Their product is 224.

x (x + 2) = 224

x² + 2x = 224

Complete the square and solve for x.

x² + 2x + 1 = 225

(x + 1) ² = 225

x + 1 = ±15

x = - 16 or 14

x + 2 = - 14 or 16

So the integers are either - 16 and - 14, or 14 and 16.