Let x and y be the 2 numbers:
2 numbers whose difference is 300.
2 numbers whose product is a minimum
x - y = 300
P = xy
-y = 300 - x
-y/-1 = 300/-1 - x/-1
y = -300 + x
y = x - 300
P = xy
P = x (x - 300)
P = x² - 300x
P'(x) = 2x - 300
x = 150
y = x - 300
y = 150 - 300
y = -150
(150, -150)
