Answer :
Hello,
(250,-250)
Let's assume
x the greater number
x-?=500==> ?=x-500 is the smallest.
P(x)=x*(x-500)=x²-500x=x²-2*250+250²-250²=(x-250)²-62500
Vertex is (250,-62500)
If x=250 then x-500=-250
(250,-250)
Let's assume
x the greater number
x-?=500==> ?=x-500 is the smallest.
P(x)=x*(x-500)=x²-500x=x²-2*250+250²-250²=(x-250)²-62500
Vertex is (250,-62500)
If x=250 then x-500=-250