What is the minimum product of two numbers whose difference is 30​? What are the​ numbers?

Answer 1

The numbers are

x

x + 30

The function to be minimized is

y = x(x + 30) = x² + 30x

Note that y describes a parabola, whose minimum is at the vertex, where

x = -30/2 = -15

x + 30 = -15 + 30 = 15

y_min = -15(15) = -225