Why complex numbers comes in conjugates numbers?

Answers

Answer 1

Answer:

Complex conjugates are important for finding roots of polynomials. According to the complex conjugate root theorem, if a complex number is a root to a polynomial in one variable with real coefficients (such as a quadratic or a cubic equation), then so is its conjugate.

Step-by-step explanation:

Does this help

Answer 2

Answer:

Complex conjugates are important for finding roots of polynomials. According to the complex conjugate root theorem, if a complex number is a root to a polynomial in one variable with real coefficients (such as a quadratic or a cubic equation), then so is its conjugate.

Step-by-step explanation:


Related Questions

round 0.865 to the nearest tenth

Answers

Answer:

0.9

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

.865 will be rounded up to 1

Bob reads 72 chapters of a book in 8 hours.
What is his rate in chapters per hour

Answers

Answer:

9 chapters per hour (ration 9:1)

Step-by-step explanation:

9 chapters per hour (9:1)

−2(−4n + 1)+5(25n − 8)=−62.

Answers

Answer:

bet

Step-by-step explanation:

Answer:

n=-20/133

Step-by-step explanation:

Use the distributive property to multiply −2 by −4n+1.

8n−2+5(25n−8)=−62

Use the distributive property to multiply 5 by 25n−8.

8n−2+125n−40=−62

Combine 8n and 125n to get 133n.

133n−2−40=−62

Subtract 40 from −2 to get −42.

133n−42=−62

Add 42 to both sides.

133n=−62+42

Add −62 and 42 to get −20.

133n=−20

Divide both sides by 133.

n=-20/133

Fraction −20/133≈−0.15037594 can be rewritten as −20/133 ≈−0.15037594 by extracting the negative sign.

n=−20/133

The vertices of rectangle HIJK,after a reflection over the y-axis, are H′(–3, 6), I′(5, 6), J′(5, –1), and K′(–3, –1). What were the coordinates of pre-image point J?

Answers

Answer:(-5,-1)

Step-by-step explanation:

What is the length of segment with endpoints at (-3,4) and (4,4)?

Answers

Answer:

7,0

you add to get this answer to get another answer which is this answer

Austin is planning a canoe trip with his dad and brother. They are taking a cooler and a few supplies that weigh a total of 89 pounds with them. The canoe has a maximum weight limit of 765 pounds. Which inequality can be used to find p, the average allowable weight in pounds for each person in the canoe? 3p − 89 ≥ 765 ⊝ 3p − 89 ≤ 765 ⊝ 3p + 89 ≥ 765 ⊝ 3p + 89 ≤ 765 ⊝ CLEAR ALL

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i did the test and got it right

3p + 89 ≤ 765

Problem 4:
The hypotenuse of a right angled triangle is 20 cm. The difference between its other two sides is 4 cm. Find the length of the sides.

Answers

Answer:

12cm and 16cm

Step-by-step explanation:

The hypotenuse of the right angle triangle  = 20cm

 let the other two sides be x and y;

 The difference;

                x  = y - 4

Problem:

Find x and y;

Solution:

According to the pythagoras theorem;

    x² + y² = 20²  ------ i

       x² + y² = 400 ----- i

and  x - y = 4 ---- ii

So;   x = 4 + y

Now input the value into equation (i);

  (y + 4)² + y² = 400

   (y+4)(y+4) + y² = 400

    y² + y² + 4y + 4y + 16 = 400

    2y² + 8y + 16 = 400

    2y² + 8y + 16 -400 = 0

   2y² + 8y - 384 = 0;

      y² + 4y - 192 = 0

Factorize the equation;

  y² + 16y - 12y - 192 = 0

  y(y + 16) - 12(y + 16) = 0

  (y-12)(y + 16) = 0

     y -12 = 0 or y+ 16 = 0

     y = 12 or -16

It is not realistic for the length of a body to be a negative value, so y= 12;

   since;

    x - y = 4,

    x = 4 + 12

    x = 16

Karen's favorite movie is 123.13 minutes long. Her second-favorite movie is 96.75 minutes long. How much longer is her
favorite movie?

Answers

answer: 123.13-96.75
26.37

Answer:

Her favorite movie is 26.38 minutes longer

Step-by-step explanation:

All you have to do is subtract 123.13 by 96.75.

123.13 - 96.75= 26.38

Need help please!!!!!​

Answers

Usually when the line is going down the slope will be represented as a negative number. Remember rise/run. The slope of this line would be -2/2. If it needs to be simplified it would be -1. If answer choices are all positive best bet would be 1! Hope this helps!

M=−8j−9k+9 solve for k?

Answers

Answer:

k= -8/9j+ -1/9m+ 1

Step-by-step explanation:

Let's solve for k.

m=−8j−9k+9

Step 1: Flip the equation.

−8j−9k+9=m

Step 2: Add 8j to both sides.

−8j−9k+9+8j=m+8j

−9k+9=8j+m

Step 3: Add -9 to both sides.

−9k+9+−9=8j+m+−9

−9k=8j+m−9

Step 4: Divide both sides by -9.

-9k/-9= 8j+m-9/-9

Calculate the mean of the given data set. You must show your work to receive all possible points.

68 ,63,67,66,65,87,69,61,86,82,28




Please help!

Answers

Answer:

87

Step-by-step explanation:

In math, the mean is the middle number of a sequence.

Please help I will give 25 points!

Answers

Seconds One. You just divide both sides by 2(pi)h

When looking at this image, please answer all 3 parts (a,b,c).

Write down the letter of the symbols have Reflectional symmetry.
Write down the letter of the symbols have symmetry by Translation.
Write down the letter of the symbols have Rotational symmetry.

Answers

Answer:

see below

Step-by-step explanation:

1.  letter of the symbols have Reflectional symmetry.

A, B, C, G, I, L

2.  letter of the symbols have symmetry by Translation.

A, B, C, D, E, F, G, H, I, J, K, L

3.  letter of the symbols have Rotational symmetry.

C, D, L

First CORRECT ANSWER gets Brainliest

Answers

Answer:the actual answer is 43 not 34

Step-by-step explanation:

Jason has three more than four times the amount of money that Jeff has. Together they have $72 How much does each person have? ​

Answers

Answer:

$58.20$13.80

Step-by-step explanation:

Let Jason's money be x and Jeff's money be y

x = 4y + 3x + y = 72

Substitute x in the second equation

4y + 3 + y = 725y = 69y= 69/5y = $13.80

Then

x = 4*13.8 + 3 = $58.2

Explain why the solution set of the inequality |x|<5 is the intersection of two sets, while the solution set of the inequality |x|>5 is the union of two sets.The solution of |x|<5 is the set of numbers that makes either of two inequalities true. The solution set of |x|>5 is the set of numbers that makes both of two inequalities true. The solution of |x|<5 is the set of numbers between −5 and 5. The solution set of |x|>5 is the set of numbers greater than 5. The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true. The solution of |x|<5 is the set of numbers less than −5. The solution of |x|>5 is the set of numbers between −5 and 5.

Answers

Answer:

The region of the [tex]|x|<5[/tex] is the common area between -5 and 5.

But there is no common area for the solution of [tex]|x|>5[/tex].

Step-by-step explanation:

Given two modulus functions:

[tex]1.\ |x|<5\\2.\ |x|>5[/tex]

Let us have a look at the definition of modulus function first:

[tex]|x|=\left \{ {-{x}\ if\ x<0 \atop {x}\ if\ x>0} \right.[/tex]

Now, solving the above given modulus functions one by one using the definition of modulus function.

Solution 1 :

[tex]\pm x <5\\\Rightarrow x<5, -x<5\\OR\\\Rightarrow x<5, x>-5[/tex]

Kindly refer to the attached diagram for solution.

The area shaded in the green color shows the solution for this equation.

Solution 2 :

[tex]\pm x >5\\\Rightarrow x>5, -x>5\\OR\\\Rightarrow x>5, x<-5[/tex]

Kindly refer to the attached diagram for solution.

The area shaded in the blue color shows the solution for this equation.

We can clearly observe that the region of the first equation is the common area between -5 and 5.

But there is no common area for the solution of the second equation.

Therefore, solution of [tex]|x|<5[/tex] has intersection and

solution of [tex]|x|>5[/tex] has union.

Answer:

The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true.

Step-by-step explanation:

9^4 x 9^5=9 to the power of what

Answers

Answer:

9⁹

Step-by-step explanation:

Hi there !

9⁴ ₓ 9⁵ = 9⁴⁺⁵ = 9⁹

Good luck !

20n + 100 greater than or equal to 320

Answers

Answer:

n greater than or equal to 11

Step-by-step explanation:

factor of x² +46x +45 is?

i need solution please​

Answers

Answer:

X^2 + 46x + 45 = (x + 1) (x + 45)

Step-by-step explanation:

Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 45 and whose sum is 46 .

1, 45

Write the factored form using these integers.

(x + 1) (x + 45)

I hope this helps.

Answer:

(x+1) (x+45)

Step-by-step explanation:

By using FOIL(Front Outer Inner Left) it should end up like this:

1. x2 + 46x + 1x + 45

2. x2 + 47x + 45

it says to show work...

Answers

Answer:

The answer is no solution.

Step-by-step explanation:

You rode 180 miles at 60 miles per hour. Let t be the time it took. Can t be 4 hours?

Answers

Answer:

t = 3 hours, therefore it cannot be 4 hours

Step-by-step explanation:

Divide the miles traveled by the rate you traveled. This will find the time it took to travel.

180/60 = 3

You drove 3 hours to travel 180 miles, therefore t cannot equal 4.

i need help with
If x = 5, find the value of LaTeX: 16-x16 − x

Answers

Answer:

-69

Step-by-step explanation:

16-(5)(16)-(5)

16x5=80

16-80-5

16-80=-64

-64-5=-69

ASAP ASAP PLEASEEEEE! WILL GIVE BRAINLIST

Answers

It is the last one D

Answer:

A: -6r+6

Step-by-step explanation:

[tex]8-\left(6r+2\right)[/tex]

[tex]-(6r+2)=-6r+2[/tex]

[tex]=8-6r-2[/tex]

[tex]8-6r-2=-6r+6[/tex]

[tex]=-6r+6[/tex]

Jocelynn paid $3.01 for an item which cost $34.80 before sales tax is applied. If the sales tax remains the same, how much money, to the nearest cent, will she pay for a $100 item. ​

Answers

Start by finding out the tax percentage which is 3.01 divided by 34.80 which gives us 9% when rounded up. 100*1.09 will give us the answer; The answer is $109. For a precise answer with a precise tax percentage, it would be $108.65.

On a map, 1 inch equals 6 miles. Two cities are 7.5 inches apart on
the map. What is the actual distance between the cities?
I really need help

Answers

To find that you would multiply 7.5 times 6. This would be 45. The cities are 45 miles away from each other

Jenise throws a ball 75 times and hits the target 41 times. What is the experimental probability that she will hit the target? State your answer as a percent.

Answers

Answer:

Step-by-step explanation:

Probability is the ratio of the required outcome to the total possible outcome

Total outcome = 75

Number of times target was hit (expected outcome) = 41

Pr(she will hit target)= 41/75

Next is to state in percent and u do that by multiplying the resulting fraction by 100

41/75 i n percent.

41/75×100

= 4100/75

= 54.67%

Hence the answer in percentage is 54.67%

0.6399 round to the nearest tenth

Answers

Awnser:

0.6

Explanation:

Because if you were to round 9 to 9 it would be 10 which would round to zero then round 3 to zero it stays as 3 bc it must be 5 or more to round higher then round 3 to 6 and 0.6 would be your awnser.

ANSWER : 0

EXPLANATION :

Consider the expression 3 + 4 x (5+6) + 7.
Which operation should be evaluated first?

Answers

The one in parentheses.

Graph the exponential function
f(x)=2/5)x

Answers

Answer:

Step-by-step explanation:

what is the equation of the line in standard form through each point? (3,1) & perpendicular to -4c + y - 1= 0

Answers

c = 1/4 y + -1/4 is the answer
You already got the answer to late
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