Question

Of all number whose diff is 20, find the 2 that have min product.

Answer 1

0 and 20?

Answer 2

that's what I figured.. didn't want to be wrong lol

Answer 3

Oh no we could use negatives too...

Answer 4

why would it not just be -infinity+20

Answer 5

-10 and 10 multiply to -100

-inf and -inf +20 multiply to a positive number

Answer 6

because inifinity is not 20 spaces from 20, otherwise we would only have 40 numbers

Answer 7

Well more importantly, the product of two negative numbers is a positive, not the minimum required.

Answer 8

-10 and 10 would give the smallest product, though. A square helps to realize this (with the same perimeter, the squares area is always greater than the rectangle)

Answer 9

right, i can't think of a number that beats -100 either so i guess that's right.