Answer:
8, -8
Step-by-step explanation:
Let's say that x is the larger number,
x - y = 16
y = x - 16
xy = P where P is a minimum
x(x-16) = P.
(We can find the vertex, which is the minimum, by writing it in vertex format)
Completing square:
x2 - 16x = P
x2 - 16x + 64 = P + 64
(x - 8)2 = P + 64.
So,
x = 8 and -8
(8 - -8 -> 8 + 8 = 16)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
