Answer:
54,18
Step-by-step explanation:
Let one of the numbers be x. The other number be represented as 36-x
(x-(36-x ) = 36
open brackets
x - 36 + x = 36
x + x = 36+ 36 = 72
2x = 72
x = 72/2 = 36
x = 36
The product can then be represented as y = x(36-x) or y=36x-x²
The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.
If one number is 18 and the 2 numbers differentiate by 36, the other number is 18 + 36 = 54
So the 2 numbers are 18 and 54 and the minimum product is 972
