Question

find two numbers which their add is 10 and their product is the max.

Answer 1

So we have
x+y=10
and we want to maximize
P=xy

Answer 2

Solve x+y=10 for either x or y and then write P in terms of one variable

Answer 3

Now can you tell me do you know calculus or do we need to do this algebraically ?

Answer 4

Because we can do it both ways. The cal way is easiest though. Less work!

Answer 5

we are not suppose to use calculus

Answer 6

Cool stuff! Ok so can you follow what I have asked you to do so far?

Answer 7

You can solve x+y=10 for either x or y by subtracting one of them on both sides

Answer 8

yeah i've already done it and i think i got it!!

Answer 9

but thanks anyway!! = )

Answer 10

\[x=10-y\]
\[P=xy\]
\[P=(10-y)y\]
\[P=10y-y^2\]
So you got this far?

Answer 11

Great forking! I'm glad you got it! :)

Answer 12

yeah n' i got x=5 n' Y=5
and xy= 25

Answer 13

Yep yep! :)