Question

Find the greatest product using rational rational numbers with a sum of 20

Answer 1

Hello,

Let's be x and y the 2 numbers

x+y=20==>y=20-x
P(x)=x*y=x*(20-x)=20x-x²
Max(P(x))==>P'(x)=0= 20-2x==>2x=20==>x=10

A product is maximum is the 2 numbers are equals;

Numbers are 10 and 10 and product=100