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

I NEEDDD HELPPPPP PLEASEEE

Answers

Answer:

#3

Hope this helped! Please give brainliest to let me know <3

Step-by-step explanation:

Presale tickets (p) are each worth $7: represented in the equation as 7p.

Door tickets (d) are each worth $10: represented in the equation as 10d.

They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.

Final answer:

(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]

You bike 4 miles the first day of your training 4.5 miles a second Day 5.5 miles a day day and 7.5 miles the fourth day if you continue this pattern how many miles do you bike the seventh day

Answers

Answer:

rth sdh h trh

Step-by-step explanation:

trh rhgf  

A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?

Answers

Answer:

Distance = speed * time

Convert feet to meter (C units) = about 6

Convert hours to second (C units) = about 2399

Distance = 6 * 2399

= 1439 meters

4721 foot

Write the slope-intercept form of the equation for the line

Answers

The third answer is correct

Hope this helps ;)

Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3

Answers

Step-by-step explanation:

-2x+5<3

-2x>3-5

-2x>-2

Divide both sides by -2

x>1

Answer:

-2x+5<3

-2x<-2

x<1

Solve for x:−2(x+9)=−1(x+−1)+2

Answers

Answer:

A

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

-2x+x= 3 +18

-x=21

x=-21

Answer:

A

Step-by-step explanation:

−2(x+9)=−1(x+−1)+2

Use distributive property

-2x - 18 = -1x + 1 +2

-2x - 18 = -1x + 3

      +18         +18

-2x = -1x +21

+1x    +1x

___________

-x = 21

we need to have a positive x so multiply x by -1. -x times -1 = x

What we do on the left side has to happen to the right side too

So, 21 times -1 = -21

Therefore, x = -21

Hope this helps :)

hey you guys its your favorite gal, hopin in to ask a couple more questions for the better in me (im honestly just asking for points and for answers, thanks for being loyal as always )

Select the correct answer.
Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
A.
15 + d = 100
B.
100 + d = 15
C.
d × 15 = 100
D.
d × 100 = 15

Answers

Answer:

c

Step-by-step explanation:

We are dividind how 100 can fit in 15 seconds

which is 100 /15

therefore when C when u tak it to the other side it divides 100 in 15

d×15=100

d=100/15

press the image to see the whole question ​

Answers

Let x be the hottest temperature.

Equation: x - (-35.67) = 148.98

So,

x - (-35.67) = 148.98

=> x + 35.67 = 148.98

=> x = 148.98 - 35.67

=> x = 113.31

in math what are 3 ways numbers are related

Answers

Answer:Recognise three numbers that are related through the operations of addition and subtraction.

Recognise that there are two related addition and two subtraction equations in a 'family of facts'.

Write and read sets of related addition and subtraction equations.

Step-by-step explanation:that is all

Suppose you are making a deposit into your checking account. You have a check for $350, cash and coins totaling $225 and you want to receive a $100 bill. What is the total deposit amount? (Show your work)

Answers

Answer:

The total deposit amount is 225.

Step-by-step explanation:

-350 + 225 + x = 100

-125 + x = 100

x = 225

Hope this helps. :)

Stay safe, happy, and healthy. Have a great day!

solve the simultaneous linear algebra quadratic equation 2x-y=8 3x-y=17​

Answers

Answer:

2x-y=8

(3x-y=17)*_1

2x-y=8

-3x+y=-17

#-x=-9, x=9 & y=-10

Answer:

x = 9  and y  = 10

Step-by-step explanation:

Subtract the second equation from 1 as in doing so the y will get cancelled as they are of the opposite sign.

2x - y = 8

-3x + y = -17

-----------------

- x = - 9

Therefore,

x = 9

Now we will add the value of x to any of the equation from the question.

2x - y = 8

2(9) - y = 8

18 - y = 8

Therefore,

y = 10

which comparison is correct?
140.07 < 140.7
140.07=140.7
140.07 > 140.7

Answers

The answer is 140.07< 140.7 I hope I help

Answer:

40.07 < 140.7

step by step explanation:it's just correct I think

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
O y = -3x - 2
O y = -3x + 2
O y = 3x + 2
O y = 3x - 2

Answers

⊹˚ʚ ❑Answer︰The slope is 3!

⊹˚ʚ ❑Explanation︰use the formula y2-y1 over x2-x1

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

Answer:

y = 3x - 2.

Step-by-step explanation:

The slope of the line (m) = (10-4)/(4-2)

= 3.

y - y1 = m(x - x1)

y - 10 = 3(x - 4)

y = 3x - 12 + 10

y = 3x - 2.

If d= the number of dogs, which variable expression represents he phase below?

the sum of number of dogs and the 6 cats

Answers

Answer:

d+6

Step-by-step explanation:

Because d is representing dogs and sum means add, and it's asking to add the number of cats which is 6 so it's d+6

please help me with this!

Answers

5*2=10. 2*3=6 2*3=6. 3*5=15. 3*5=15. 5*2=10

10+10+6+6+15+15= 62 units^2

What is the solution to 4 x + 6 less-than-or-equal-to 18?
x less-than-or-equal-to 3
x less-than-or-equal-to 6
x less-than-or-equal-to 48

Answers

Answer:

Answer

4.0/5

58

amna04352

Genius

6.9K answers

39.6M people helped

Answer:

x-less than-or-equal-to 3

Step-by-step explanation:

4x + 6 < 18 (less than or equal to)

4x < 12 (less than or equal to) x < 3 (less than or equal to)

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

Which value, in order, will complete the table? ​

Answers

Answer: The answer is the first choice.

Explanation:

Because you must find the sin of the x values in the table.

Sin(7pi/6) = -1/2

Sin(5pi/4) = -sqrt 2/2

Sin(4pi/3) = -sqrt 3/2

help gggggggggggggggggggggggggggggggggggggg

Answers

Answer:

22 units

The correct answer is A

I believe the answer to this is 22 units.

I hope this helps! :D

combine like terms, x-3+6

Answers

Answer:

x - 9

Step-by-step explanation:

That should be it, and let me know if I'm wrong. x is by itself and if you were to add 3 and 6 you'd get 9. So x - 9

x + 3. My explanation is in the picture.
Hope this helps!

Math question please show work due today last day to submit Assignments or I fail please help

Answers

Answer:

[tex]\$128.43[/tex]

Step-by-step explanation:

Since the cost for border paper is given in terms of feet and the dimensions of the gym are given in meters, we want to convert them to the same unit. Let's choose to convert feet to meters since that would be only one conversion:

[tex]15\:\mathrm{ft}=4.572\:\mathrm{m}[/tex]

Therefore, the cost of border paper is $6.99 pet 15 feet or $6.99 pet 4.572 meters.

Since the gym is rectangular, the gym's perimeter is equal to:

[tex]p=15+27+15+27,\\p=2(15)+2(27)=84\:\mathrm{m}[/tex]

Therefore, the cost of the total border paper for the gym is equal to:

[tex]\text{cost}=\frac{84}{4.572}\cdot 6.99\approx \boxed{\$128.43}[/tex]

QW                                                                           QW . R R RR . R R RR

                           

Please report my answer


The triangles at the right are similar. What is the ratio (larger to smaller ) of the perimeters ?

Answers

Answer:

The perimeters are in the same ratio as the corresponding sides.

Step-by-step explanation:

There is no diagram given in your question, so imagine an example in which the ratio of two corresponding sides is, say,  7:4  (or 7/4).  Then the perimeters are in the same ratio,  7:4.

Note: The areas are in the ratio which is the square of the ratio of sides, so 49:16 in the example.

Write an equation that you can use to solve for x. Enter your answer in the box. ​

Answers

The answer is X=27 degrees

Steps-
90-63=27

Answer:

x+63 = 90

Step-by-step explanation:

x and 63 add to a right angle so their sum is 90

x+63 = 90

We can solve

x = 90-63

x = 27

5√2-3√2.


optional maths

Answers

It has to be undefined

Answer:  [tex]2\sqrt{2}[/tex]

=====================================

Explanation:

Let's say we replace every copy of [tex]\sqrt{2}[/tex] with x

Doing so means we have the expression 5x-3x. That simplifies to 2x.

The last thing to do is replace the x with [tex]\sqrt{2}[/tex] and that's how we end up with [tex]2\sqrt{2}[/tex] as the final answer.

----------

In short: we subtract the numbers out front, and then tack on a root 2 at the end.

As another example, [tex]19\sqrt{2}-11\sqrt{2} = (19-11)\sqrt{2} = 8\sqrt{2}[/tex]

This is basically the same as saying 19x-11x = (19-11)x = 8x where [tex]x = \sqrt{2}[/tex]

The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?

Answers

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

A 6-foot diameter circle is divided
into six congruent sectors. What
is the area of each sector in square
inches? (Use 3.14 for 2.)

Answers

Answer:

the area is 1235

Step-by-step explanation:

Answer:

2714.33 sq in

explanation-

since circle is divided into 6 congruent sectors, area of each sector is 1/6th of area of circle.[tex]ar \: of \: sector \: = ar \: of \: circle \: \div 6 \\ = \pi \times 72 \times 72 \div 6 \\ = 2714.33[/tex]

What is the vertex of the quadratic function below?
y = 1/2x^2 + x. + 3
A. (-1,5)
B. (1/2,3)
C. (1,3)
D. (-1/,5/2)

Answers

Answer:

C

Step-by-step explanation:

Into the thick of it

I need help with this question it’s about circle angle things it’s for my practice test

Answers

Xnm would be 80 degrees
Xn would be 180 half of 360
Mn would be 260 180+80 degrees
Hope this helps :)

3 more than 3 times a number is equal to 12 less than 6 times the number. what is the number?

1
5
12
18

Answers

Answer:

5

Step-by-step explanation:

3*5=15

15+3=18

and

6*5=30

30-12=18

The value of the unknown number is 5. The correct option is B.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 3 is more than 3 times a number is equal to 12 less than 6 times the number.

The value of the unknown number will be calculated as,

3n + 3 = 6n - 12

6n - 3n = 12 + 3

3n = 15

n = 5

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

Beth will you help Andy with his algebra?

which punctuation mark is missing in the sentence?

A),

B)!

C)´

D)-

Answers

Answer:

A)

Step-by-step explanation:

mark me brainliest plzzzzzzz

A,
Beth, will you help Andy with his algebra?
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