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Alenkinab [10]
3 years ago
15

How do you do x ^4-4? What is the x values?

Mathematics
1 answer:
VladimirAG [237]3 years ago
3 0
We know that
A difference of two perfect squares (A² - B²)  <span>can be factored into </span><span> (A+B) • (A-B)
</span> then
x ^4-4--------> (x²-2)*(x²+2)
(x²-2)--------> (x-√2)*(x+√2)
x1=+√2
x2=-√2

the other term
(x²+2)=0-> x²=-2-------------- x=(+-)√-2

i <span> is called the </span><span>imaginary unit. </span><span>It satisfies </span><span>  i</span>²<span>  =-1
</span><span>Both </span><span>  i </span><span>  and </span><span>  -i </span><span>  are the square roots of </span><span>  -1 
</span><span>√<span> -2 </span></span> =√<span> -1• 2  </span><span> = </span>√ -1 •√<span>  2  </span> =i • <span> √<span> 2 </span></span>
The equation has no real solutions. It has 2 imaginary, or complex solutions.
x3=  0 + √2<span> <span>i  
</span></span>x4=  0  - √2<span> i </span>

the answer is 

the values of x are
x1=+√2
x2=-√2
x3=  0 + √2 i  
x4=  0  - √2 i

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About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer. Find
Tanzania [10]

Step 1

<u>Find the total area</u>

Total area=(1,150,000/18,075)=63.62 square kilometer

The area of a circle is equal to

A=\pi * r^{2} \\ 63.62= \pi * r^{2}\\r=\sqrt{(63.62/\pi)} \\r=4.5\ km

therefore

the answer is

4.5\ km

7 0
3 years ago
In the 2004 Olympics, Adam won a gold medal in the men's 500 m kayak race, with a time of 1 min and 37.9 sec. He also won the br
Sedbober [7]

Answer:

The correct answer is Adam rowed faster in the men's 500-meter kayak race.

Step-by-step explanation:

To find the speed he rowed in both races, you need to divide the distance of the race by the time it took him to finish. In the first race, he rowed 500 meters and did it in a time of 1 minute 37.9 seconds, so the speed in that race would be \frac{500}{97.9} or approximately 5.10725 meters per second. In the second race, Adam rowed a distance of 1000 meters and did it in a time of 3 minutes 28.2 seconds, which means his speed in that race would be \frac{1000}{208.2} or approximately 4.80307 meters per second. Since his speed in the first race was faster than his speed in the second race, Adam rowed faster in the first race would be the correct answer.

3 0
3 years ago
I need answer Immediately pls!!!!!!
Illusion [34]

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

n(U)=27

n(A)=7

n(B)=18

n(A'\cap B')=7

We know that,

n(A\cup B)=n(U)-n(A'\cap B')

n(A\cup B)=27-7

n(A\cup B)=20

Now,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=7+18-n(A\cap B)

n(A\cap B)=7+18-20

n(A\cap B)=25-20

n(A\cap B)=5

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}

\text{Probability}=\dfrac{5}{27}

Therefore, the required probability is \dfrac{5}{27}.

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