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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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3 years ago
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trasher [3.6K]

Answer:

See explanation

Step-by-step explanation:

The given complex number are:

z_1=-3\sqrt{3}+3i

and

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When we rewrite z_1=-3\sqrt{3}+3i in complex form, we obtain;

z_1=r(\cos \theta+i\sin \theta)

where

r=\sqrt{(-3\sqrt{3})^2+3^2 }=\sqrt{36}=6

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\theta=tan^{-1}(\frac{y}{x})

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Hence,

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z_1=6\cos 150\degree+6i\sin 150\degree

Hence

z_1=z_2

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Answer:

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