SOLUTION: The sum of two real numbers is -6. Calculate their values if their product is a maximum.

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Question 588901: The sum of two real numbers is -6. Calculate their values if their product is a maximum.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=-6
y=-6-x
(x(-6-x)=0
-x^2-6x=0
Max at x = -b/2a
=-(-6)/-2
=-3
Max at y:
-(-3^2)-6(-3)
-9+18
=9
.
Ed
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graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-x%5E2-6x%29