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e-lub [12.9K]
3 years ago
13

Find the greatest product using rational rational numbers with a sum of 20

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0
Hello,

Let's be x and y the 2 numbers

x+y=20==>y=20-x
P(x)=x*y=x*(20-x)=20x-x²
Max(P(x))==>P'(x)=0= 20-2x==>2x=20==>x=10

A product is maximum is the 2 numbers are equals;

Numbers are 10 and 10 and product=100

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\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}

<h3>x = 21/5</h3>

Step-by-step explanation:

<h3>___________________________</h3>

<h3>Given →</h3>

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