What is the largest possible product of two negative number whose sum is 1?

Answer 1

two negative numbers can not add to +1

Answer 2

oh I'm sorry the problem actually say two non-negative numbers I misread the problem

Answer 3

x(1-x)=product

dProduct/dx=1-x + x(-1)=0
-2x=-1
x=1/2
other number is 1/2
largest product is 1/4