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nasty-shy [4]
2 years ago
11

The population of a city increases in size by 18 percent every 12 years.

Mathematics
1 answer:
anastassius [24]2 years ago
5 0
The first one is 0.27, Second one is 0.12, third one is 2 times people live per year, and the last one is 0.02
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alex41 [277]
Yes, and what is the problem?
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3 years ago
How do you solve the following equation: 5-(2x-3)=-8+2x
kirza4 [7]
I believe it would be done like this:
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4 0
3 years ago
What are the types of roots of the equation below?<br> - 81=0
Tju [1.3M]

Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0. This can be obtained by finding root of the equation using algebraic identity.    

<h3>What are the types of roots of the equation below?</h3>

Here in the question it is given that,

  • the equation x⁴ - 81 = 0

By using algebraic identity, (a + b)(a - b) = a² - b², we get,  

⇒ x⁴ - 81 = 0                      

⇒ (x² +  9)(x² - 9) = 0

⇒ (x² + 9)(x² - 9) = 0

  1. (x² -  9) = (x² - 3²) = (x - 3)(x + 3) [using algebraic identity, (a + b)(a - b) = a² - b²]
  2. x² + 9 = 0 ⇒ x² = -9 ⇒ x = √-9 ⇒ x= √-1√9 ⇒x = ± 3i

⇒ (x² + 9) = (x - 3i)(x + 3i)

Now the equation becomes,

[(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

Therefore x + 3, x - 3, x + 3i and x - 3i are the roots of the equation

To check whether the roots are correct multiply the roots with each other,

⇒ [(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

⇒ [x² - 3x + 3x - 9][x² - 3xi + 3xi - 9i²] = 0

⇒ (x² +0x - 9)(x² +0xi - 9(- 1)) = 0

⇒ (x² - 9)(x² + 9) = 0

⇒ x⁴ - 9x² + 9x² - 81 = 0

⇒ x⁴ - 81 = 0

Hence Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: What are the types of roots of the equation below?

x⁴ - 81 = 0

A) Four Complex

B) Two Complex and Two Real

C) Four Real

Learn more about roots of equation here:

brainly.com/question/26926523

#SPJ9

5 0
1 year ago
If you walk 5/12 in 1/2 hour how dar will you walk in 1 hour
riadik2000 [5.3K]

Answer:

10/12 or 5/6

Step-by-step explanation:

1/2 + 1/2 = 1

5/12 + 5/12 = 10/12 or 5/6

3 0
2 years ago
Read 2 more answers
Remove the brackets and simplfy 5-(6a -3b -8)​
galina1969 [7]

Answer:

−6a+3b+13

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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