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2 years ago

5

Pablo will take the 11:43 AM train to San Diego. The train is estimated to arrive in San Diego in 3 hours 45 minutes. What is th

e estimated arrival time?

1 answer:

11Alexandr11 [23.1K]2 years ago

5 0

Answer:

3. 28pm

Step-by-step explanation:

11 43

+3 45

15 28

15.28-12

=3.28

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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

(x² - 9) = (x² - 3²) = (x - 3)(x + 3) [using algebraic identity, (a + b)(a - b) = a² - b²]
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:

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1 year ago

The table below shows the ages of employees over 50 at a company and the amount of money they have in their retirement accounts.

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Answer:

c

Step-by-step explanation:

plot your graph and then you will see there is no line which shows there is a correlation. they're too scattered

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Which equation represents the distance (d) a car travels, in time (t), when driving 65 miles per hour? How far did the car trave

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You're ordering a sandwich at the local deli, below is a tree diagram of the possible orders. What is the probability that your

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Answer:

Step-by-step explanation:

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2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.

3. So with a one in three chance logical meat option and a one two chance cheese option and.

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5. 1 x 1 = 1 and 3 x 2 = 6

6. leading to $\frac{1}{6}$

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Try It for Example 3: Is 3.14144144414444... a rational number? Explain your reasoning. *

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it's irrational

A rational number can be put over a fraction, while this number continues forever

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