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## Homework Statement

find two numbers whose sum is 20 and whose product is a maximum.

## Homework Equations

the first number is X

the second number is 20-x

**3. The solution**

X(20-X)=0

-X^2+ 20x=0

x=-b/2a = -20/2(-1) = 10

20 - x =20 -10 = 10

the numbers are 10 and 10

i just dont get why / how you know to put x and 20 - x and why you would use the axis of symmetry to find the numbers

and sry mods i posted originally in the wrong thread.

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