To determine the numbers needed in this item, we let x be one of the numbers. With this representation, the other number could be expressed as 2020-x. The product of these numbers is therefore,
P = x(2020 - x)
P = 2020x - x²
Then, we derive the equation and equate to zero.
dP = 2020 - 2x = 0
The value of x from the equation is 1010. Therefore the numbers are both 1010.
