What are the solutions of this quadratic equation? x2 − 18x + 58 = 0 A. B. C. D.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let's use "completing the square" to solve this quadratic:  x^2 − 18x + 58 = 0

We want to rewrite the terms "x^2 - 18x" in the form '(x - h)^2 - h^2 and leave the terms '58 = 0' as they are:

Taking half of the coefficient of x (which coefficient is -18), we get -9.  We square this -9, obtaining 81, and then rewrite

"x^2 - 18x"   as  "x^2 - 18x" + 81 - 81."  To this we must append '58 = 0":

x^2 - 18x + 81 - 81 + 58, or x^2 - 18x + 81 - 23 = 0

Now the first three terms condense to the expression

(x - 9)^2, which is then followed by "-23":

(x - 9)^2 = 23

Solve this for x.  Taking the square root of both sides, we get

x - 9 = ± √23

so that one root is x = 9 + √23

and the other is x = 9 - √23

Answer 2

Answer: Let's use "completing the square" to solve this quadratic:  x^2 − 18x + 58 = 0

We want to rewrite the terms "x^2 - 18x" in the form '(x - h)^2 - h^2 and leave the terms '58 = 0' as they are:

Taking half of the coefficient of x (which coefficient is -18), we get -9.  We square this -9, obtaining 81, and then rewrite

"x^2 - 18x"   as  "x^2 - 18x" + 81 - 81."  To this we must append '58 = 0":

x^2 - 18x + 81 - 81 + 58, or x^2 - 18x + 81 - 23 = 0

Now the first three terms condense to the expression

(x - 9)^2, which is then followed by "-23":

(x - 9)^2 = 23

Solve this for x.  Taking the square root of both sides, we get

x - 9 = ± √23

so that one root is x = 9 + √23

and the other is x = 9 - √23

Step-by-step explanation: Hope it helps


Related Questions

Someone pls help me i will mark brainliest pls help

Answers

Answer:

It is proportional to the amount of minutes being used

Step-by-step explanation:

The reason is when I divided 80 by 12 it gave me 6.66666667

When I divided 60 by 9 it gave me the exact same answer

Sixty is 150 percent of what number?

Answers

Answer:

its 40. hope this helps : )

Step-by-step explanation:

Answer:

60 us 150% of 40

Step-by-step explanation:

100% of 40 is 40 and 50% of 40 is 20

When adding 40 (100%) and 20 (50%), you get 60 (150%).

URGENT WILL MARK BRAINLIEST​

Answers

a) 1/3
b) 9
.............

Answer:

a) 1/3

b) 9

Step-by-step explanation:


Can someone help me plz?

Answers

Both are correct,

For lori’s answer u divide by 6 which is that same as 72/6
both lori and jayden are correct

Please someone help me answer this!!

Answers

Answer:

a^10

Step-by-step explanation:

5*2=10

can you pllzz help me 5x - 3y + 0.25

Answers

That can’t be simplified anymore. There are no like terms. The only thing we can do here is turn 0.25 to a fraction, which is 1/4.
it's already simplified

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).

The results of the regression were:
y=ax+b
a=-1.154
b=39.771
r2=0.386884
r=-0.622

Use this to predict the number of situps a person who watches 8 hours of TV can do (to one decimal place)

Answers

Answer:

transits

Step-by-step explanation:

ydhjgdiddley

The graphs below have the same shape. What is the equation of the blue graph?​

Answers

Answer:

D. [tex]g(x)=(x+4)^{2}-3[/tex]

Step-by-step explanation:

g(x) is a translated function. Compared to the parent function, f(x)=[tex]x^{2}[/tex], it has been shifted 4 left and 3 down. The rule for quadratic functions is [tex]y=a(x-h)^{2} +k[/tex], where h is the x-translation (horizontal) and k is the y-translation (vertical). In g(x) h=-4 and k=-3. While it might seem like h is positive, remember that since in rule it is being subtracted it must be negative.

what is 5m-7=5(m-2)+3

Answers

Answer: follow this!

Step-by-step explanation:

suppose you fill the cone with water and empty the water into the cylinder. how many times will you empty the water from the cone into the cylinder.

A. 3 TIMES B. 6 TIMES C.9 TIMES

Answers

Answer:  A) 3 times

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

Explanation:

Recall that from a previous screenshot you posted, that

[tex]\text{Volume of Cone} = \frac{1}{3}*\left(\text{Volume of Cylinder}\right)[/tex]

If we multiply both sides by 3 and swap both sides, then we end up with

[tex]\text{Volume of Cylinder} = 3*\left(\text{Volume of Cone}\right)[/tex]

So that's why we need 3 cups of water, if each cup is the cone in the diagram. Keep in mind that the height of the cylinder and the cone must be same. The two radius values must be the same as well. You don't need to have r = h be true.

Answer:

3 times

Step-by-step explanation:

Which statement about the function is true?

Answers

The first one is true

Answer:

the last one

number 4

A wagon is pulled along level ground by exerting a force of 38 pounds on a handle that makes an angle of 30 with the horizontal. How much work is done pulling the wagon ​90 feet?

Answers

Answer:

2150

Step-by-step explanation:

63 POINTS JUST NEED ANSWER NO EXPLANATION NEEDED A rectangular prism has a width of 92 ft and a volume of 240 ft3. Find the volume of a similar prism with a width of 23 ft. Round to the nearest tenth, if necessary.

Answers

Answer:

[tex]60ft^3[/tex]

Step-by-step explanation:

[tex]\frac{92}{240} =\frac{23}{x} \\\\92x=23*240\\92x=5520\\x=5520/92\\x=60[/tex]

Factorise
3x + y^3 z​

Answers

Answer:

3x + y^3 z

taking common 1

1(3x+y³ z)

I start with $100 in my
bank account and
spend $7.50 a day on
lunch. How many
lunches will I be able to
buy before I run out of
money?

Answers

Answer:

13 lunches

Step-by-step explanation:

100 divided by 7.5 = 13 1/3

since you have to buy whole lunches, and since we're talking about money, we need to round down to get 13.

Harsha thinks of a number. She subtracts 2 then multiplies the result by 3. The answer is the
same as subtracting 6 from the number then multiplying by 7. What number did Harsha
think of?

Answers

Answer:

-42.

Because you subtract to the 2. -2, multiply by 3, -6. Then multiplying by 7. And getting -42.

Find the value of x in the isosceles trapezoid below

Answers

Answer:

Step-by-step explanation:

Theres no picture??

Soooo wheres the x?

Faris wrote this equation to represent a​ real-world situation. Write a situation that could go with this equation.
6a−16=b
Choose a situation that could go with the equation.
A.
The number of berries b is 16 fewer than 6 more than the number of apples a.
B.
The number of berries b is 16 more than 6 times the number of apples a.
C.
The number of berries b is 16 more than 6 more than the number of apples a.
D.
The number of berries b is 16 fewer than 6 times the number of apples a.

Answers

it’s C
i took the test and i’m very smart

The population of Virginia is 30% less than the population of Georgia. If
the population of Georgia is 10.5 million, what is the population of
Virginia?

Answers

7,150,000

The population of Georgia is 10,500,000.

The population of Virginia is 30% less than that.

So the population of Virginia is 10,500,000 - 30% which equals 7,150,000

G6 M4 L19
POSSIBLE PO!
Jenna and Allie work together at a piano factory. They both were hired on January 3, but Jenna was hired in 2005, and Allie was hired in 2009
If both workers continue working at the piano factory, when Allie has 20 years of experience on the job, how many years of experience will Jenna ha
on the job?
2.
3

Answers

Answer:

24. because 2009-2005+20 = 24. hope that helps

Tell whether the angles are adjacent or vertical. Then find the value
of x due today

Answers

Answer:

They are vertical.

x = 87°

Step-by-step explanation:

Vertical angles are always the same.

Compare the sets of numbers given and place them in the correct column or incorrect column. K: Move to Bottom 0.125 < 1 8 0.4 0.675 = 27/40 5 10 45 i NEEED HELP ASAP WILL GIVE ALL MY POINTS​

Answers

Answer:

Correct Comparison:

1st

3rd

5th

6th

Incorrect Comparison:

the rest of them

Step-by-step explanation:

left-right, top-bottom order btw

PLEASE ANYONE HELP ME? :D

Answers

9514 1404 393

Answer:

  B, C

Step-by-step explanation:

The equation for the circumference C of a circle of diameter d is ...

  C = πd

That is, π is the constant of proportionality between circumference and diameter.

Clearly, when the diameter is 1, the circumference will be π.

__

π is the circumference when diameter is 1.

π is the constant of proportionality between circumference and diameter.

A right square pyramid is show below

Answers

hi i think you forgot to attach the picture

Please hurry, this is the last time I can take this assessment

Answers

Answer:

Option D will be the answer.

The answer is option d

original price $28 and mark up 16%

Answers

Answer:

$32.48

Step-by-step explanation:

Find 116% of $28.(sorry if this sentence was confusing)

x = 116% of $28

    x                116%

_______=_______

 $28            100%

116 x 28 = 3,248

3,248/100= 32.48

= 32.48

32.48 hope this helps solve your question

Soil sells for 8 1/4 cents per pound. how much would you save if you bought a 100 pound sack for $7.45?

Answers

$8.25 x 100 pounds= $825
$7.45 x 100 pounds= $745
825-745= $80
therefore you save $80

The amount saved is $0.80 or 80 cents.

Since Soil sells for 8 1/4 cents per pound, the coat for 100 pound sack will be:

= 8 1/4cents × 100

= 8.25 cents × 100

= 825 cents

Since 100 cents = $1

825 cents = 825/100

825 cents = $8.25

Since the 100 pound sack was bought for $7.45, the amount saved will be:

= $8.25 - $7.45

= $0.80

Read related link on:

https://brainly.com/question/21778757

Solve for x in the figure below. Write your answer in simplest radical form. X = ____

Options
6√2
12
√170
15
9√3

Answers

a^2+b^2=c^2
7^2+11^2=?
49+121=170
x= Square root of 170

Hope this helps!! :)

There are 36 students in the school choir. The ratio of girls to boys in the choir is 5:4. two girls are absent from practice on Monday. What is the ratio of girls to boys at choir practice on Monday?​

Answers

Answer:

try 2to4 let me see or if it's wrong correcte

Answer:10:7

Step-by-step explanation:

Eliana treated her sister to lunch while visiting her in Seaside. Their lunch cost $100, and the
sales tax in Seaside is 8%. If Eliana left a 20% tip on the $100, how much in total did she
pay?

Answers

Answer:

multiply the numbers

128

Step-by-step explanation:

Answer:

128 is the answer

Step-by-step explanation:

your welcome!

Other Questions
help me with this please help ill give brainliest Given h(x) = -2 1, solve for x when h(x) = -3. pls help me 10 points Please Help!Just say 1,2,3,4 , or 5 to label them! Ty! Tina goes shopping and her total is 210 dollars and if she receives a 35 percent discount for spending over 200 dollars then how much does she pay Solve the inequality 11r 177 2r > -(r = 233).Answer with an inequality statement like r 29. Define the term cliff Whats the measurement answer? Someone please help me answer this!! want to watch a moviemovie night When a story is told in a characters point of view it is _____________? *10 pointa. First Personb. Third Person Limitedc. Third Person Omniscient A ball hangs on a string. The force of tension (Ft) in the string is 15n. The force due to gravity (Fg) pulls the ball down with a force of 15 N. Show your work. what are organisms of the same species that are at the same level of descent from a common ancestor called?a. species of ancestors b. generationsc. populationsd. hybrid levels Which is the biggest negative integer x + y + 2x + 2y + 4x + 5z Pick the correct answer:(a)The Industrial Revolution changed the process of manufacturing from the domestic system to the factory system. (b)Flax is a synthetic fiber. (c)Manufactured goods are not more valuable than the original raw materials. PLZ HELP!!!!!! ASAP! 70 POINTS!Factor ax^2aybx^2+cy+bycx^2 Directions: Examine each statement and write whether it uses a claim of Fact value or policyMessages1. Cellphone is a useful toolin supplementing teachinginstructionsANSWER:2.Teachers should ensurecorrect use of cellphones inthe classroomANSWER Demonstration of Learning: 1. What is the main difference between a prokaryotic cell and a eukaryotic cell? A Prokaryotic cells have a nucleus while Eukaryotic cells do not. B Eukaryotic cells have a nucleus while Prokaryotic cells do not. C Both have a nucleus. D Both do not have a nucleus. 2. The nucleus of a cell is kind of like a A Stomach B Eye C Brain D Heart 3. Plants and Animal cells are both ____________ while Bacteria cells are ______________. A Eukaryotes, Eukaryotes B Prokaryotes, Prokaryotes C Prokaryotes, Eukaryotes D Eukaryotes, Prokaryotes