SOLUTION: Two numbers have a sum of 28. Write an expression for the product of the two numbers. Use one variable. Use roots to explain why the maximum product must occur when the tw

Algebra ->  Expressions-with-variables -> SOLUTION: Two numbers have a sum of 28. Write an expression for the product of the two numbers. Use one variable. Use roots to explain why the maximum product must occur when the tw      Log On


   

Question 1179763: Two numbers have a sum of 28.
Write an expression for the product of the two numbers. Use
one variable.

Use roots to explain why the maximum product must occur when
the two numbers are each 14.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
P = x(x-28) = x^2 - 28x  
Reaches max at x= -b/2a = 28/2 = 14

Wish You the Best in your Studies.