solve 6x^2 - 12x + 24 = 0 by completing the square

Answers

Answer 1

Answer: [tex]\quad x=1+\sqrt{3}i,\:x=1-\sqrt{3}i[/tex]

Step-by-step explanation: [tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:6\cdot \:24}}{2\cdot \:6}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \:12\sqrt{3}i}{2\cdot \:6}[/tex][tex]x_1=\frac{-\left(-12\right)+12\sqrt{3}i}{2\cdot \:6},\:x_2=\frac{-\left(-12\right)-12\sqrt{3}i}{2\cdot \:6}[/tex][tex]x=1+\sqrt{3}i,\:x=1-\sqrt{3}i[/tex]


Related Questions

Pedro and his friends are visiting chocolate shops in Fairview. They take a cab from one
chocolate shop to another. On a map, the two are separated by 3 centimeters. If the scale of the
map is 1 centimeter = 2 kilometers, then what is the actual distance between the two chocolate
shops?

Answers

Answer:6 kilometers

Step-by-step explanation:

Answer: 6 kilometers

Step-by-step explanation: if 1 centimeter = 2 kilometers, than you would take 3 and multiply it by 2

What is the answer to: 5/2 - 4/3

Answers

Answer:

7/6

Step-by-step explanation:

5/2-4/3

=(5*3-4*2)/2*3

=(15-8)/6

=7/6

A store is instructed by corporate headquarters to put a markup of ​25% on all items. An item costing 8​$ is displayed by the store manager at a selling price of ​2$. As an​ employee, you notice that this selling price is incorrect. Find the correct selling price. What was the​ manager's likely​ error?

Answers

Answer:

the correct selling price is $10

And, the error is that the manager put the markup percentage as a selling price instead of adding up the markup to the cost price

Step-by-step explanation:

The computation is shown below:

Given that

Markup = 25%

Cost of an item = $8

Selling price of an item = $2

Based on the above information

The amount of markup would be

= 25% × 8%

= $2

Now amount after markup is

= $2 + $8

= $10

Hence, the correct selling price is $10

And, the error is that the manager put the markup percentage as a selling price instead of adding up the markup to the cost price

Answer:

part A:The correct selling price is $10

Part B:And, the error is that the manager put the markup percentage as a selling price instead of adding up the markup to the cost price

Step-by-step explanation:

Step-by-step explanation:

100 POINTS
A plant is already 15.00 meters tall, and it will grow 6 centimeters every month. The plant's height, H (in meters), after x months is given by the following. =H+15.000.06x What is the plant's height after 15 months?

Answers

90 SORRY IF IM WRONG
i believe the answer is 90

5. Which of the following is a good strategy to solve this problem?
"Jane has saved $240 to spend on gifts this year. She is planning to spend $96.00 on gifts for her parents, $18.00 on gifts for each of her two brothers, and $44.00 on gifts for her grandmother. How much money will she have left after buying the gifts?"
A. draw a picture
B. make a list
C. write an equation
D. any of these would work

Answers

Answer:

C. or D.

Step-by-step explanation:

It depends on the person to be honest, however in this situation an equation is the best route.

Answer: C is the best as choice A is just plain out wrong.

The “war council” is a meeting that Dally has with the leaders of the Socs. What is the plan/agreement that results from Dally’s meeting with “the war council”?

Answers

Answer:

yes

Step-by-step explanation:

yes

6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!

Answers

Answer:

The answer to #6 is 255

The answer to #7 is the mint milkshake is thicker

The answer to #8 is A is 12 and B is 18

The answer to #9 is A is 33 and B is 15

Missing values:

1. 1:7 , 3:21, 18:126

2. 20:12 , 10/3:2 , 8 1/3:5

3. 42:21 , 6:3 , 48:24

4. 4:10 , 8:20 , 16:40

5. 36:32  18:16

Step-by-step explanation:

#2: The first ratio is shown, which is 5:3.  Meaning, that the bottom number (cakes) is multiplied by 5/3 in order to get the top number (pies).   We can apply that to the ratio with 12 cakes, 12 multiplied by 5/3 is 20.  The next ratio involved 10/3 pies.  Since that is the "top" number (see chart), 10/3 need to be multiplied by 3/5 instead of 5/3.  By doing that, the number of cakes is 2.  

#7: The ratio of milk to ice cream in the mint milkshake is 1.25:4

The ratio of milk to ice cream in the strawberry milkshake is 1.75:5

When the ratios are divided, the quotient for the mint milkshake (0.3125) is LESS than the quotient for the strawberry milkshake (0.35).  This means that there is less milk and more ice cream (ratio-wise) in the mint one.

Number 1 : adults to children 2:14 , 1:7, 3:21, 18:126
Number 2 :

The graph of the equation y=x2+3x+5 is a function.

Question 2 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

this funcion is squared and you can draw it, so therefore it is a function.

i need help!! Please ASAP

Answers

Answer:

It would be Square root of 38, and square root of 44 because they are all between 5 and 10. I'm sure you don't need their exact values, but that's them.

If you have nay more questions let me know! :)

HELPPPPPPPPP MEEEEE STARVINGGGGG

Actually help me with the screenshot though LOL

Answers

Answer: i think A, but might not be sry

Step-by-step explanation:

Write the equation in slope-intercept form for a line which points go through (-2,3), parallel to x=o

Answers

Answer:

x = -2

Step-by-step explanation:

Line x = 0 is parallel to y-axis

Line parallel to given line is also parallel to y-axis. It passes through point (-2, 3), so its equation is:

x = -2



What's the answer??

Answers

Answer:

The answer is -4/21

Step-by-step explanation:

Write the standard form of the line that contains a slope of −1/2 and y-intercept of 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Answer:

x + 2y = 4

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Slope is m = -1/2 and y-intercept is b = 1

The function is:

y = -1/2x + 1

Standard form is:

Ax + By = C

Converting the function into standard form:

y = -1/2x + 2 ⇒ 2y = - x + 4 ⇒ x + 2y = 4

Answer:

Step-by-step explanation:

Slope-intercept form of y = mx + b

Slope is m = -1/2 and y-intercept is b = 1

The function is y = -1/2x + 1

y+1/2x=1

(2y+1x)/2=1

2y+x=2

x+2y=2

what is the product of (3x+5) and (x+4)?

Answers

Answer:

3x^2+17x+20

Step-by-step explanation:

Answer: x = y

y = -4

y = 3x + 2

x = 8

Simplify: (-3a2b5)2

Find (x - 4)2`Find the product: (3x + 5)(4x - 1)

Use FOIL:

F: 3x*4x=12x^2

O: 3x*-1 = -3x

I: 5*4x = 20x

L: 5*-1 = -5

Combine these products to get:

12x^2+17x-5

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

Which of the following is the equation of a vertical line?

x = y

y = -4

y = 3x + 2

x = 8

Answer x=8 ; The graph is the set of points where x=8.

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

Simplify: (-3a2b5)2

=(-3a^2b^5)(-3a2b^5)

=9a^4b^10

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

Find (x - 4)^2

=(x-4)(x-4)

Use FOIL to get:

x^2-4x-4x+16

=x^2-8x+16

Step-by-step explanation:All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)

list all the factors of 8 from least to greatest for my brother

Answers

Answer:

1,2,4,8

Step-by-step explanation:

8/1=8

8/2=4

8/4=2

2 and 4

Factors are the numbers that can be multiplied together to equal 8, not including the number and/or 1. In this case, the only numbers are 2 and 4, because 2x4=8

2x -14 = -9 answer for this equation

Answers

Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way

Step-by-step explanation: Move all terms that don't contain  

x

to the right side and solve.

Answer:

x= 2.5

Step-by-step explanation:

Simplifying

2x + -14 = -9

Reorder the terms:

-14 + 2x = -9

Solving

-14 + 2x = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.

-14 + 14 + 2x = -9 + 14

Combine like terms: -14 + 14 = 0

0 + 2x = -9 + 14

2x = -9 + 14

Combine like terms: -9 + 14 = 5

2x = 5

Divide each side by '2'.

x = 2.5

Simplifying

x = 2.5

What is the slope of a line that is perpendicular to the line 2y - 3x = 8?
-3
-2/3
1/3
3/2

Answers

the answer will be 3/2
I believe the correct answer is -2/3

Please help meee hbenekneje

Answers

800 miles hope it helps

Which one of the following is a ratio that is equivalent to 3:5? *
6:12
O
9:15
O 10:16
O 30:60

Answers

the answer should be 9:15

Please help me! I'm struggling!

Answers

Answer:

so one thing you can do is to put the standard form into slope-intercept form

so 6x+y= -4 into y=-6x -4

now, you put a point on (0,-4)

(x,y)

now the slope is -6/1 so you rise (go down) -6 points and run (sideways) 1

HELP PLEASEEE
If ABCD is a parallelogram, identify the two pairs of congruent segments.

Answers

The pairs of congruent segments are

Line AB is congruent to Line DC
Line AD is congruent to Line BC

In other words, the answer is D.

Hi whats
u = x - k solve for x

Answers

Answer:

x=u+k

Step-by-step explanation:

Answer:

x = k+u

Step-by-step explanation:

u = x - k

+k       +k

u + k = x

Hope this helps!

Can someone help me out as soon as possible

Answers

The correct answer is b=6/1/4

SmolHumanAngel here y go

Answers

Answer:

E.24/7 tan(74) = opposite/advanced The length of the side opposite to the 74 degree angle is 24 units*The length of the side adjacent to the 74 degree angle is 7 units*If you substitute the value into the formula to obtain: tan(74) = 24/7 The correct answer is option E

Please help me I will MARK BRAINLIEST PLEASE DON'T IGNORE

Answers

Answer:

.......................................

Step-by-step explanation:

can someone please help with this?!

Answers

18) If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

19) Given

20) A midpoint splits a segment into two congruent parts. (I assume it's supposed to say [tex]\overline{VX} \cong \overline{XY}[/tex])

21) Vertical angles are congruent.

22) ASA

23) CPCTC

The distances traveled by car A car Afx x hours. are. represented by the graph and table below.

Answers

Answer: b

Step-by-step explanation:

The speed of car B is twice the speed of car A.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

For car A,

Time= 5 hours

Distance = 200 miles.

speed= 200/5

speed= 40 mph

and, In car B

Time= 6 hours

Distance= 480 miles

speed= 480/6

speed= 80 mph

Hence, the speed of car B is twice the speed of car A.

Learn more about proportion here:

https://brainly.com/question/26974513

#SPJ6

15 points!

Can someone help me find the range of this question please.

Answers

Answer:

80, 95, 110, 125, 140

Step-by-step explanation:

80, 95, 110, 125, 140

X is greater than 3 and less than 9

Answers

Answer:

answer can vary

Step-by-step explanation:

it can be 4,5,6,7,8

answer

it can be 4,5,6,7,8.

It took Sharon 85 minutes to wash three cars. She spent x minutes on
each car and 10 minutes putting everything away. Solve 3x + 10 = 85 to
find how long it took to wash each car.
A)5.5
B)28.3
C)25
D)31,67

Answers

Answer:

25

Step-by-step explanation:

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