Question

The difference of two number is 2. What is the smallest possible value of their product?

Answer 1

if u take the two numbers as 1 and -1 then the product is -1

Answer 2

but it will be positive and u need the smallest product

Answer 3

sorry forgot that simple rule for a sec :D

Answer 4

x - y = 2
Solving for y we get y = x - 2

The product = xy = x ( x - 2) = x^2 - 2x
To maximize that take the derivative
y' = 2x - 2
Set = 0 and sove for x
2x - 2 = 0
x = 1
y = -1
The smallest product is 1 * -1 which equals -1

Answer 5

thnx.. :D