Solve for all solutions of the equation. x3 - 8 = 0

Answers

Answer 1

Answer:

x3=0+8

×3=8

x=8/3

Step-by-step explanation:

Answer 2

Answer:

x = 2, -1+i√3, −1−i√3

Step-by-step explanation:

Factoring the left side of the equation:

x^3−2^3=0

(x−2)(x^2+x⋅2+2^2)=0

(x−2)(x^2+2x+2^2)=0

(x−2)(x^2+2x+4)=0

x−2=0

x^2+2x+4=0

First solution:

x−2=0

x=2

Second and third solution:

x^2+2x+4=0

−2±√2^2−4⋅(1⋅4)/2⋅1

x=−2±2i√3/2⋅1

x=−2±2i√3/2

−2±2i√3/2  

x=−1±i√3

x=−1+i√3

x=−1−i√3

x=−1+i√3,−1−i√3

Final answer:

x=2,−1+i√3,−1−i√3


Related Questions

Please Help Me ASAP

The coordinates of point J are (5, −6) and the coordinates of the point K are (7, 8). What are the coordinates of the point one half the distance from J to K? Enter your answer by filling in the boxes. ( , )

Answers

Answer:

(6,1)

Step-by-step explanation:

8. The endpoints of ST are s(-3, 2) and t(5,8). Find the coordinates of the midpoint of ST. Then find ST. OA midpoint: (1,5); ST = 5 OB midpoint: (1, 4); ST = 10 с midpoint: (1, 5); ST = 10 midpoint: (2,5); ST = 10​

Answers

Answer:

The mid point of ST is (1,5) and ST = 10 units

Step-by-step explanation:

It is given that,

S(-3,2) and T(5,8). We need to find the coordinates of the midpoint of ST and also ST.

Let (x,y) be the mid point of ST. Using mid-point formula we get :

[tex](x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

We have, x₁ = -3, x₂ = 5, y₁ = 2 and y₂ = 8

So,

[tex](x,y)=(\dfrac{-3+5}{2},\dfrac{2+8}{2})\\\\(x,y)=(1,5)[/tex]

(1,5) is the midpoint of ST.

Using distance formula to find ST as follows :

[tex]ST=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\ST=\sqrt{(5-(-3))^2+(8-2)^2} \\\\ST=10\ \text{units}[/tex]

Hence, the mid point of ST is (1,5) and ST = 10 units.

Jessie needs ₹1,70,000 for her College admissions in the starting of January 2021.Her mother helped her by creating a fund of ₹12,000 in the end of January 2019. Thereafter she has been collecting ₹5500 in the starting of each month for Jessie’s college fund. How much money will be collected in the fund before Jessie’s admissions? ​

Answers

This question is in complete

Complete Question

Jessie needs ₹1,70,000 for her College admissions in the starting of January 2021. Her mother helped her by creating a fund of ₹12,000 in the end of January 2019. Thereafter she has been collecting ₹5500 in the starting of each month for Jessie’s college fund. How much money will be collected in the fund before Jessie’s admissions?

Option 1:

₹(12000 + 11(5500))

Option 2:

₹(5500 + 11(12000))

Option 3:

₹(12000 + 23(5500))

Option 4:

₹(5500 + 23(12000))

Answer:

Option 3:

₹(12000 + 23(5500))

Step-by-step explanation:

In the question above, the total amount of money Jessie needs = ₹1,70,000

Admission starts January 2021.

In January 2019, Jessie's mom started a fund of ₹12,000, and every month after she collected ₹5500 in Jessie's college fund.

The number of months remaining is from February 2019 - December 2020

February 2019 - January 2020 = 12 months

February 2020 - December 2020= 11 Months

Add the total months = 11 Months + 12 Months

= 23 months.

She has been depositing ₹5500 for the 23 months with an initial deposit of ₹12,000

The amount of money that will be collected in the fund before Jessie’s admissions is calculated as:

₹12,000 + 23(₹5500)

= ₹12,000 + ₹126500

= ₹ 138,500

Therefore, the amount of money that will be collected in the fund before Jessie’s admissions is ₹ 138,500 or Option 3) ₹(12,000 + 23(5500))

Probability of being a boy in this class is 1/3 and there are 12 girls. Find the total
number of students.

Answers

Answer:

18

Step-by-step explanation:

The fraction 1/3 is equal to 6/18. There are 12 girls, and 6+12=18, so there is a total of 18 students.

Answer:

18

Step-by-step explanation:

By knowing that 1/3 is the probability of being in the class, you can find that 12 girls and 6 boys would sound perfect to the question. Mathematically you would solve it by 12/0.33333 and it equals 18 of total number of students. If you need more help text me on insta it's jason_lee093

On Thursday the high temperature was 0°C. If it was three degrees colder on Friday what was the temperature

Answers

Answer:

-3 C

Step-by-step explanation:

Answer:

-3⁰c

Step-by-step explanation:

0-3=--0

hope this helps

Please Help!!! 10 Points! Brainliest answer

Answers

the answer is 3.... 4*3=12 6*3 =18

If the density of manganese is 7440kg/m3,
find the mass of 35,000 m3

Answers

Answer:

Step-by-step explanation:

Density = mass/Volume

mass = Density × Volume

= 7440 × 35000

= 744×35×10000

= 260400000 kg

= 2604×10^5 kg

= 2.60× 10^8 kg

Hope this helps! :)

If mangleT = (7x − 14)°, find the measure of the following.


Complement of angleT.

Answers

Complement means 90 degrees.

7x - 14 = 90

7x = 104

x = 14.857...

Best of Luck!

Answer:

see below

Step-by-step explanation:

Complement of angle T = (7x - 14) = 90

                                                    7x = 90 + 14

                                                      x =104 / 7

                                                      x = 14.857

Complement of angle T = 7 (14.857) - 14 = 90

                                                     104 - 14 = 90

                                                              90 = 90

Subtract 8 – (-2). who will be first to answer it.......

Answers

Answer:

10

Step-by-step explanation:

8+2 = 10

keep the 8 then change the sign

if there’s 2 - next to each other then it’s a +, so your answer is 10

The inverse of y = 2x + 2 is

Answers

Answer:

(x - 2) / 2

Step-by-step explanation:

x = 2y + 2

2y = x - 2

y = (x - 2) / 2

Answer: (x-2)/2

Step-by-step explanation:

edg

What is the image of (-3,4)

Answers

Answer:

(2, 3)

Step-by-step explanation:

Since the problem says to add 5 to x, and subtract from y, you can do x = -3 + 5 and y = 4 - 1 to get (2, 3)

What number is 4/7 of 210

Answers

Answer:

4 / 7 of 210 is 120.

(4 / 7) * 210 = 120

Answer:

4/7 x 210

=4x 30=120

mark it as brainliest!

For the pie chart of the given data . What will be the central angle for Butter Scotch flavor category ?​

Answers

Answer:

The central angle of the butter scotch category is 120 degrees

Step-by-step explanation:

Here in this question, we want to calculate what the central angle will be for the Butter scotch flavor category.

We should understand that the total

angle for a pie chart is 360

Now, the first thing we will do here is to add all the number for all the flavors together

That will be 3 + 5 + 3 + 4 =15

Now the next thing is to place the butter scotch category number over this and multiply by 360

That will be;

5/15 * 360 = 1/3 * 360 = 120 degrees

What is the solution set for 5x – 5 > -2(x -8)?
A: x < 3
B: x > 7
C: x > 3
D: x > -7

Answers

Answer:c

Step-by-step explanation:

The answer would be x>3

Help me please!!!!!
ASAP!!!!

Answers

Answer:

If the inequality states something untrue there is no solution. If an inequality would be true for all possible values, the answer is all real numbers.

Step-by-step explanation:

Answer;

If the inequality states something untrue there is no solution. If an inequality would be true for all possible values, the answer is all real numbers, To solve an equation means to find all numbers

that make the equation true. The numbers are

called solutions or roots of the equation. A

number that is a solution of an equation is said to

satisfy the equation, and the solutions of an

equation make up its solution set. Equations

with the same solution set are equivalent

equations.

The picture represents a compass and straightedge construction of___?

Answers

Answer:

B

Step-by-step explanation:

The picture represents a compass and a straightedge construction of bisecting a line segment.

- Bisect a line segment

Option C is the correct answer.

What is a bisector of a line segment?

A segment bisector is a line, a ray, a line segment, or a point that cuts a line segment at the center dividing the line into two equal parts.

We have a figure,

There are two line segments.

One line segment is bisected by the compass at point B.

One line segment is bisected by the compass at point F.

Thus the picture represents a compass and a straightedge construction of bisecting a line segment.

- Bisect a line segment

Option C is the correct answer.

Learn more about line segment bisector here:

https://brainly.com/question/13792156

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What fractions with a denominator of 100 is equivalent to 8/10?

Answers

Answer:

80/100

Step-by-step explanation:

Both the top and bottom can be multiplied by the same number and the fraction will still have the same value. Muliplying the bottom by 10 gives you 100 and you must do the same to the top : 80/100

Answer:

80/100

Step-by-step explanation:

Kenya is traveling on her bike at a rate of 5 miles per hour. How fast is she traveling in feet per hour?

1056 ft/min

0.00094697 ft/min

26,400 ft/min

1,584,000 ft/min

Answers

Hiii sooo I don’t get this one so I’m sorry, buttt please let me know if you need help with anymore

A bucket contains 1.34 hectoliters of water. How many centiliters of water are in the bucket? Use the metric table to
help answer the question.
Metric Table
unit
kilo-
1,000
hecto-
100
deka-
10
deci-
0.1
centi-
0.01
1
0.001

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer: c) 13,400 centiliters

Step-by-step explanation: edge. 2022

A transformation of rectangle ABCD results in rectangle A'B'C'D'.

A smaller rectangle is shown inside a larger rectangle. The smaller rectangle has side lengths 5, 4, 5, 4. The larger rectangle has side lengths 10, 8, 10, 8.
Which transformation maps the pre-image to the image?

dilation
reflection
rotation
translation

Answers

Answer:

dilation

Step-by-step explanation:

did it on edge 2020

Pls make me brainliest much appreciated

The transformation that maps the pre-image to the image i.e. ABCD to A'B'C'D'  is the Dilation transformation.

What is dilation?

Changing in size without changing the shape of the given figure, such transformation is known as dilation.

We have,

According to the question:

Smaller Rectangle ABCD has side lengths 5, 4, 5, 4.

And,

Rectangle A'B'C'D' has side lengths 10, 8, 10, 8.

So,

The size of rectangle A'B'C'D' get increases as compared to rectangle  ABCD.

Hence, We can say that the transformation dilation would transform the ABCD into the A'B'C'D' by dilation.

To learn more about transformation and dilation click here

https://brainly.com/question/11709244

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What is the range of the function y=4x+3 for the domain 7≤x≤10?

Answers

Answer:

[tex]31 \leqslant y \leqslant 43 [/tex]

Step-by-step explanation:

When you put this formula into a graphic formula, you get a graph going up four and right one and intercepts the y-axis at 3. On the x-axis, when you go to x=7, the graph is at Y=31, same for x=10, the graph is at y=43

What number should be the exponent on the 10 so that the two numbers are equivalent?
2.3 * 10y = 0.0023
y=-4
y=3
y=-3
Oy=4

Answers

The answer would be -4

Answer:

it is -3

Step-by-step explanation:

Mary drove 4 hours to reach her camping spot. Driving home,she increased her speed by 15 miles per hour, reducing her travel time by 1 hour. How fast did she drive going going to the camping spot?

Answers

The correct answer is 18 hours

A baker can decorate 5 cakes in 100 minutes. What is his rate per hour?

Answers

5 cakes / 100 mins = 0.05 cakes / min

0.05 cakes * 60 mins = 3 cakes / hour

3 cakes an hour - .05 cakes a minute
0.5 • 60 = 3 cakes

Davis played a video game 5 times. The list shows his scores.
4975, 5275, 4825, 5100, 4950
What is the difference between the mean and median of the data?

Answers

Answer:

4970

The mean - the median = 4970

Answer:

I think this is the answer not sure tho. SO bacisally 4970

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

5025

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

4975

Part A: Consider the distance from the school to the coffee shop and the distance from the library to the coffee shop. Draw their respective line segments in the above graph. If the school is relocated in a way that it is collinear to the coffee shop and the library and distance to the coffee shop is preserved, then the point representing the school will partition the line segment from the coffee shop to the library in a
x: y ratio. What are the values of x and y? Part B: Sergio lives at the corner of 16th Street and 19th Avenue. Saskia lives at the corner of 20th Street and 3rd Avenue. Located 1/4 of the distance from Sergio’s place to Saskia’s it is the post office. Where is the post office located? Part C: Kay lives is at the corner of 5th Street and 4th Avenue. Her boyfriend works at the twin theater located at the corner of 9th Street and 20th Avenue. They have lunch every Tuesday and Thursday at a market located
3/4 of the distance from the twin theater and Kay’s house. Where is the market located?

Answers

Answer:

See below

Step-by-step explanation:

Refer to attached. All answers included.

Note. Will mainly refer to y-coordinates in distance questionsPart ADistance from coffee shop to library: 16 -8 = 8Distance from coffee shop to school: 16 - 10 = 6 = xDistance from school to library: 10 - 8 = 2 = yRatio x:y = 6: 2 = 3:1Part BDistance from Sergio's home to Saskia's home: 19 -3 = 16Distance from Sergio's home to Post office: 16*1/4 = 4Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15Part CDistance from Kay's home to twin theater: 20 - 4 = 16Distance from twin theater to market: 16*3/4 = 12Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8

You order office supplies for your company every quarter. The invoices for the first three quarters are $615, $791, and $803. What was the total amount spent on office supplies for the first three quarters?

Answers

Answer:

$2209

Step-by-step explanation:

Add all three numbers together

Answer:

2209

Step-by-step explanation:

add all three numbers together

pls answer asap! i need help :c

Answers

Volume: length • height • width so
17 • 17 • 10= 2890
And since it’s a triangular prism u have to multiply it by 1/2 or 0.5 whatever form u like
2890 • 1/2= 1445 <= that’s the answer so b

Solve the problem below in your head.
One of the companies sponsoring Thor "Super High Octane"
Ericsson, the greatest extreme sports athlete ever, has
designed a new motorcycle racing jacket with Thor's picture on
the back. If the company sells the first 30,000 jackets at
$400 a piece, how much money will it take in?

Answers

Answer:

Step-by-step explanation:

Ummm keep adding it lol

The answer is five thousand.
three hundred. What
is the
question?
53 x 100
510 x 59
100 x 500

Answers

Answer:

First option. [tex](53\times100)[/tex]

Step-by-step explanation:

Five thousand, three hundred = 5300

[tex]53\times100=5300[/tex] (Correct)

[tex]510\times59=30090[/tex] (Incorrect)

[tex]100\times500=50000[/tex] (Incorrect)

Answer:

You only have to solve each one until you get the right answer, in this case this is what you can do:

Step-by-step explanation:

53 times 100 = 5,300

510 times 59 =  30,090

100 times 500 = 50,000

The right answer is the first one!

Hope this is right, and helps!!!

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