Question 999604
We need to minimize
f(x)=x(12+x)=12x + x^2
Set the derivative equal to zero and get
f'(x) = 12 + 2x = 0
and x = -6
The second derivative is
f''(x) = 2
so you know it is a minimum.
Thus the two numbers are
-6 and 6, and the product is -36.