Among all pairs of numbers whose difference is 10, find a pair whose product is as small as possible. What is the minimum product? a. the pairs of numbers whose difference is 10 and whose product is as small as possible is___ b. The minimum product is___

Question

anonymous · Answer

bet it is -5 and 5

anonymous · Answer

call one number x, the other x + 10 
then their product is $$x(x+10)=x^2+10x$$

anonymous · Answer

this thing has a minimum value at $$x=-\frac{b}{2a}=-\frac{10}{2}=-5$$

anonymous · Answer

x = -5, x+10 = 5 and their product is -25