What are the roots of the equation x^2+8x+32=0 in simplest a+bi form?

Answers

Answer 1

Answer:

x =  -4 ± i4

Step-by-step explanation:

This is a quadratic equation with coefficients {1, 8, 32}.  We apply the quadratic formula to solve for x.  The first step is to find the 'discriminant,' b^2 - 4 ac, which here is (8)^2 - 4(1)(32), or 64 - 128, or -64.  

A negative discriminant indicates that this quadratic has two unequal complex roots.  

                               -b ± √(b^2 - 4ac)

The formula is x = ----------------------------

                                         2a

which, when evaluated at a = 1, b = 8 and c= 32, yields

                               -8 ± √(-64)

The formula is x = ----------------------------

                                         2(1)

or:

                               -8 ± i√64                

The formula is x = -----------------   = x =  -4 ± i4

                                        2


Related Questions

Emma says the length of her favorite movie is 120120120 minutes, but she has rounded the time to the nearest ten.
Which could be the number of minutes of Emma's favorite movie before she rounded it?

Answers

Answer:

17

Step-by-step explanation:

There is 47% tax on a $124 cell phone bill. What is the total amount owed

Answers

Answer:

55

Step-by-step explanation:

A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0.50, while each cylindrical container costs $0.75.

Which packaging should the company use to minimize cost? Explain.

The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $2.50 less than using the rectangular boxes.
The rectangular prism boxes should be used because they will cost the company $5.00 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $5.00 less than using the rectangular boxes.

Answers

Answer:

The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

Step-by-step explanation:

Box

2400/60 * .5 = 20

Cylinder

2400/80 * .75 = 22.5

Box cost 2.50 less

Answer:

a. The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

Step-by-step explanation:

Just got it right on Edge

help i have no idea how to do this​

Answers

Answer:

what you do is first you find out what 4 to the second power is do then you find what 6 to the second power is then you add the two answers you just got. after that you find the square root of the number you just got and that is the answer.

I NEED HELP PLEASEE I WILL GIVE BRIANLIEST!:)

Answers

Answers:

1.) 9

2.) 6

3.) 2

Answer:

7 x 9 = 9 x 7

5 x 8 = 5 x 4 x 2

4 x 6 = 3 x 2 x 4

Step-by-step explanation:

Equation 1:

Commutative property, just reversing the order of the factors.

Equation 2:

Since 5 s given we multiply 4 x 2 to get 8

5 x 8

Equation 3:

3 and 4 are given. Since 6 is a product of 3 and 2, 2 is the missing number.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A.)61
B.)49
C.)17
D.)7

Answers

Answer:

C.) 17

Step-by-step explanation:

These angles are supplementary meaning they add up to 180°.

7x + 2x + 27 = 180

9x + 27 = 180

9x = 153

x = 17

I am sure it’s C hope I helped

please help me with homework or i will get yelled by my teachers lolz

Answers

Answer:

the answer to this is 7.

Step-by-step explanation:

7+3=10.

10 = 7 + 3

uhmm bcos 3 + 7 = 10

Easy eh?-

PLEASE PROVIDE ANSWER AS SOON AS POSSIBLE

Answers

x=2 it’s kinda hard to tell from the photo tho

(URGENT I NEED THE PROCEDURE) At what distance from the floor is the kite?, consider

sen 42°=0.6691

cos 42°=0.7431

tan 42°=0.9004

[The answer is 34.65m but i need procedure]

Answers

Step-by-step explanation:

i think this might help you

Which relation is a function? A. (1,0) (3,0) (1,1) (3,1) (1,3). B. (1,1) (2,2) (3,3) (4,4) (5,8). C. (2,7) (6,5) (4,4) (3,3) (2,1). D. (9, -3) (9,3) (4, -2) (4,2) (0,0)

Answers

Answer:

a

Step-by-step explanation:

because it's a relation function

PLEASE HELP ME thank you if you do

Answers

Answer:

C) 12√2

Step-by-step explanation:

According to the 45-45-90 triangle x should be a√2 and since a = 12 (in this case) the answer is 12√2.

Answer:

Option 3 is your correct answer.

Please help! (slopes and grafts) (multiple choice)

Answers

Answer:

slope = 2

Step-by-step explanation:

Please help me
Look at the image

Answers

Answer:

74 degrees

Step-by-step explanation:

As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees

x=8x=8 and y=3y=3?
8x-9y
8x−9y

Answers

Answer:

x h

             h                                                                    d

Step-by-step explanation:

Evaluate y = 3x, when x = 5

y = 243
y = 125
y = 15

Answers

Answer:

C) y=15

Step-by-step explanation:

y=3x

y=3(5)=15

Which fraction has a terminating decimal as its decimal expansion?
One-third
One-fifth
StartFraction 1 Over 7 EndFraction
StartFraction 1 Over 9 EndFraction

Answers

Answer:

1/5

Step-by-step explanation:

Answer:

1/5 is the correct answer on edge. 2021

Step-by-step explanation:

Two numbers are in the ratio 3:5. If one of them is greater than the other by 10,Find the smaller number.​

Answers

Answer:

smaller number = 15

Step-by-step explanation:

Let the two numbers be 5x and 3x respectively.

According to the question —

5x — 3x = 10

2x = 10

x = 5

Thus the smaller number is 3 × 5 = 15

Answer:

15?

Step-by-step explanation:

Sorry I'm not entirely sure that is correct but I hope it helped!

PLEASE HELP ASAP - ILL GIVE BRAINLIEST

Answers

Answer:

4) [tex]y=-\frac{1}{3} (x-2)^2-3[/tex]   7) [tex]2x^2+12x+18[/tex]

5) [tex](-2,-3)[/tex]                    8) [tex](0,-3)[/tex]                            

Step-by-step explanation:

7) Add [tex]2y^2[/tex] to both sides of the equation.

    [tex]x-12y-18=2y^2[/tex]

    Add 12y to both sides of the equation.

    [tex]x-18=2y^2+12y[/tex]

    Add 18 to both sides of the equation.

    [tex]x=2y^2+12y+18[/tex]

    Use the form of [tex]ax^{2} +bx+c[/tex] to find the values of a, b, and c.

    a = 2, b = 12, c = 18

    Substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]

    [tex]d=\frac{12}{2(2)}[/tex]

    Simplify the bottom.

    d = 3

    Find the value of e using the formula e = [tex]c-\frac{b^2}{4a}[/tex]

    Raise 12 to the power of 2

    [tex]e=18-\frac{144}{4(2)}[/tex]

    Multiply 4 by 2.

    [tex]e=18-\frac{144}{8}[/tex]

    Divide 144 by 8.

    [tex]e=18-1[/tex] · 18

    Multiply [tex]-1[/tex] by 8.

    [tex]e = 18-18[/tex]

    Subtract 18 from 18.

    e = 0

    Substitute the values of a, d, and e into the vertex form [tex]a(x+d)^2+e[/tex].

    [tex]2(y+3)^2+0[/tex]

    Set x equal to the new right side.

    [tex]x=2(y+3)^2+0[/tex]

    Use the vertex form, [tex]x=a(y-k)^2+h[/tex], to determine the values of a h & k.

    a = 2

    h = 0

    k = [tex]-3[/tex]

    Find the vertex [tex](h,k)[/tex]

    [tex](0,-3)[/tex]

   

how many solutions? -3(v + 4) = 2v - 37





Answers

-3(v+4) = 2v-37

-3v-12 = 2v-37

-3v-2v = -37+12

-5v = -25

v = -25/-5

v = +5

Answer:

One solution.

v = 5

Step-by-step explanation:

- 3(v + 4) = 2v - 37

- 3v - 12 = 2v - 37

- 3v - 12 + 12 = 2v - 37 + 12

- 3v = 2v - 25

- 3v - 2v = 2v - 2v - 25

- 5v = - 25

- 5v ÷ - 5 = - 25 ÷ - 5

v = 5

Someone help me please

Answers

Answer:

h. I dont understand the question-

i. 2w + 5

j. 7m + 13s (I didnt get the second number)

k. -2x + 3y (I also didnt get the first number-)

l. 5c - 2d

m. 10a + 2g

n. 5a + 12

Step-by-step explanation:

Find (from (3)

f(x) = x^2 - x

Answers

Answer:

I think the answer is 6.......

help me please really need it

Answers

Answer:

it's just a sussy baka and it cannot be that bad im feeling like imposter i might just be a monster

Step-by-step explanation:

Amongus in real life

sus caught in 4k camera

Paul also wants to include some articles in the yearbook.

Paul thinks the yearbook should have 2 articles on every 13 pages.



If there are 156 pages in the yearbook, how many articles will there be? Show your work.

Answers

Answer:

Step-by-step explanation:Okay so I put 156 divided by 2 and I got 78 so see if 78 is the answer

PLEASE HELPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

I think its 30 meters. The bottom rectangle is 21 Meters and the top square is 9 Meters

I believe it is 7m^2

5. Write an equation of a line in standard form for the given conditions. passes through (0,0) and is perpendicular to the line 2- y=6​

Answers

Answer:

69

Step-by-step explanation:

5x+7=4 What is the first step in solving this equation

Answers

Answer:

The first step would be subtract 7 from both sides.

If correct, mark me brainliest!

[tex]Hope this helps[/tex]

Answer:

Your first step would be to subtract 7 from both sides of the equation

Step-by-step explanation:

5x+7=4

5x=-3

What is the quotient?
t+3/t+4

Answers

Answer:

[tex] \frac{t + 3}{t + 4} = 1 - \frac{1}{t + 4} [/tex]

Find the solution of the system of equations.
-5x – 3y = 0
–5x + 2y = -25

Answers

The solution is (3,-5)

△ABC is congruent to △DEF. What is the value of x? Explain how you determined your answer.

Answers

Answer:

3

Step-by-step explanation:

It is 3 because fi you multiply 5 by 3 you get 15, and if you multiply 10 by 3 you get 30. Subtract 30 by 6 and get 24. And finally, if you multiply 2 by 3 it gives you 9. 9+12= 21.

Can u guys help me answer these 2 questions

Answers

i don’t know how to do the other one but ..
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