Find two numbers whose difference is 300 and whose product is a minimum. List them separated with a comma.

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)