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adelina 88 [10]
4 years ago
10

What is the maximum product of two numbers whose sum isminus−44​? what numbers yield this​ product?

Mathematics
1 answer:
Deffense [45]4 years ago
8 0
Let the the numbers be x and y:
x+y=-44
thus
y=-44-x
thus the product of the numbers will be:
P(x)=x(-44-x)
P(x)=-44x-x^2
For maximum product P'(x)=0
from P(x),
P'(x)=-44-2x=0
solving for x we get:
-44=2x
thus
x=-22
thus the value of y will be : y=-44--22=-22
hence the answer is:
The numbers that yield maximum product is -22 and -22
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