Question

Find the maximum value of the product of two numbers x and 10 - x.

Answer 1

Answer:25

Step-by-step explanation:

x(10-x) = 10x - x^2 = 10x - x^2 + 25 - 25 = 25 - (x^2 -10x + 25) =

25 - (x-5)^2 >= 25 - 0 (because (x-5)^2 >=0)

So the max is 25!