Question

Find the product two number such that their sum is equal to 10 and their sum is maximum.​

Answer 1

Answer:

5,5

Step-by-step explanation:

Answer 2

You are looking for two numbers, x and 10 - x, that make their product as large as possible. This means you are looking to maximize the value of 10x - x2. If you know calculus, you know that maxima and minima happen when the derivative

10 - 2x is zero, or the numbers are 5 and 5. Even if you don’t know calculus, you can convince yourself of this by representing the two numbers as 5 + e and 5 - e

Multiplying gives (5+e)(5-e) = 25 + 5e - 5e - e2 = 25 - e2

e squared Is always positive, and it’s minimum is when e is zero, giving us 5 and 5 again.