Question

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

Answer 1

2*112

4*56

8*28

14*16

Explanation:

Answer 2

-16 and -14

14 and 16

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.