Answer:
-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.
