find the roots of the following equation by factorisation. x+1/x-1- x-1/x+1=5/6: X doesn't equal to 1,-1​

Answers

Answer 1

Answer:

x= -1/5

hope this helps you

Answer 2

Answer:

x = - [tex]\frac{1}{5}[/tex], x = 5

Step-by-step explanation:

Given

[tex]\frac{x+1}{x-1}[/tex] - [tex]\frac{x-1}{x+1}[/tex] = [tex]\frac{5}{6}[/tex]

Multiply through by 6(x - 1)(x + 1) [ the LCM of the denominators ]

6(x + 1)² - 6(x - 1)² = 5(x - 1)(x + 1) ← expand factors and simplify

6(x² + 2x + 1) - 6(x² - 2x + 1) = 5(x² - 1)

6x² + 12x + 6 - 6x² + 12x - 6 = 5x² - 5

24x = 5x² - 5 ( subtract 24x from both sides )

0 = 5x² - 24x - 5 ← in standard form

0 = (x - 5)(5x + 1) ← in factored form

Equate each factor to zero and solve for x

5x + 1 = 0 ⇒ 5x = - 1 ⇒ x = - [tex]\frac{1}{5}[/tex]

x - 5 = 0 ⇒ x = 5


Related Questions

PLEASE ANSWER FAST
Answer like
number 1. answer is _________________
number 2. answer is _________________
number 3. answer is _________________
number 4. answer is _________________
number 5. answer is _________________

Answers

Answer:

number 1. answer is 561%

number 2. answer is 1

number 3. answer is 7/80

number 4. answer is 31.25%

number 5. answer is 60%

Step-by-step explanation:

hope this helps!

Answer:

1. 561%

2. 1

3. 7/80

4. 31.25%

5. 6%

Step-by-step explanation:

To start off, lets learn how to convert decimals to percent's.

Converting is actually not too hard. All you need to do is multiply the decimal by 100.

So 5.61 * 100

That would be 561 and then you add a percent sign to the end.

To convert a percent to a decimal is just the opposite of what we just did. Simply divide the percent by 100.

So 100% /100

A number divided by itself is 1

So 100% = 1

To make this problem easier, you can convert the fraction to a decimal.

8 3/4 = 8.75%

Now divide it by 100

8.75/ 100

0.0875

Now just convert it back to a fraction.

0.0875 = 7/80

Convert to a decimal.

5/16 = 0.3125

Multiply by 100

31.25

add percent sign

31.25%

Last one.

Convert to decimal

3/5 = 0.6

Multiply by 100

6%

If you need help on conversions or anything else don't be afraid to reach out! I hope this helps!

Identify any constraints on the domain

Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in minutes
Choose the correct answer below.

OA. The domain consists of all integers greater than or equal to 10 and less than or equal to 20

OB. The domain consists of all integers less than or equal to 20
OC The domain consists of all integers greater than or equal to 0

OD. The domain consists of all integers greater than or equal to 0 and less than or equal to 20

O E. The domain consists of all integers greater than 0 and less than or equal to 20

Answers

Answer:

Step-by-step explanation:

A vertical asymptote represents a value at which a rational function is undefined, so that value is not in the domain of the function. A reciprocal function cannot have values in its domain that cause the denominator to equal zero. In general, to find the domain of a rational function, we need to determine which inputs would cause division by zero.

6th grade math i mark as brainliest​

Answers

Answer:

30

Step-by-step explanation:

I think that's the answer

consider the inequality shown.

4x+ax-14>-24

What is the highest integer value of when x=-2

Answers

Answer:22

Step-by-step explanation:

find the x in the given triangle and at last do the proof...please help​

Answers

Answer:

x = 42.67

Step-by-step explanation:

Help ???? Please it will be appreciated

Answers

The answer is 200 metres as the price increases by 3.9 for every increase in 30 metres.
The person above me is correct. I did the math

How did immigration to the United States from Europe change between 1840 and 1850?
It decreased by half.
It decreased by a third.
It more than tripled.
It increased tenfold.

Answers

Answer:

it more than tripled

Step-by-step explanation:

I'm not sure if you need more but it requires me to type more to send the answer

Answer:

It more than tripled

Step-by-step explanation:

Right on Edge 2021

Algebra 1 plz help me

Answers

Answer:

Step-by-step explanation:

solution is (4,3)

OR

x=4

y=3

this point lies in both the tables.

we have to find a pair which lies on both.

Ann received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.21 per pound. After buying the coffee, she had $45.37 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

She bought 3 pound of coffee.

Step-by-step explanation:

70 - 45.37 = 24.63

24.63 ÷ 3 = 8.21

Answer:

3 pounds

Step-by-step explanation:

Which is a correct expansion of the following expression?

18(x – 3) – 26


A. 18x – 80

B. 18x + 80

C. 18x + 28

D. – 62x

Answers

Answer:

A. 18x – 80

Step-by-step explanation:

18(x - 3) - 26

18x - 54 - 26

18x – 80

The answer is a. 18x - 80

Because first you will expand the brackets, for this you will multiply everything that is outside the bracket to what’s inside (18 times x) which will give you 18x and (18 times -3) which will give you -54

Now your equation will be

18x -54 - 26

Next you will workout the liked terms with are -54 and -26, since they are both negative just add them together and keep the sign.

To get your final answer

18x -80

use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.

Answers

Answer:

18. AE = 6

19. BG = 6

20. CF = 5

21. GF = 2

22. CE = 3

23. AC = 3·√5

24. A_F = 10

25. DA = 3·(√5 - 1)

Step-by-step explanation:

Whereby the point C is the center of the circle, we have;

CB = CG = CE = 3 = The radius of the circle with center at C

CE = 3

CF = √(4² + 3²) = 5 by Pythagoras' theorem

CF = 5

GF = CF - CG = 5 - 3 = 2

GF = 2

BG = CB + CG = 3 + 3 = 6

BG = 6

Whereby, BC is a tangent to the circle with center, C, we have;

A_F = √(8² + 6²) = 10 by Pythagoras' theorem

A_F = 10

AE = A_F - EF = 10 - 4 = 6

AE = 6

AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem

AC = 3·√5

DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)

DA = 3·(√5 - 1).

I need help with the problem that is in the attached image.

Answers

Answer: c

Step-by-step explanation: i did the test

Pleaseeeee help me anyone !!!!!!!!!!!! Will mark Brianliest answer correctly

Answers

Answer:

x = 6√7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve the missing length.

Step 2: Identify Variables

Leg a = √27

Leg b = 15

Hypotenuse c = x

Step 3: Solve for x

Substitute [PT]:                    (√27)² + 15² = x²Exponents:                          27 + 225 = x²Add:                                     252 = x²Isolate x:                              6√7 = xRewrite:                               x = 6√7

is this answer, right?

Answers

Answer:

1) Incorrect should be 35%, 2)incorrect should be 23%

Step-by-step explanation:

37 + 24 = 61   61 + 54 = 115   115 + 36 = 151 college students

1) 54  =   x                    2)  36 = x

  151 = 100                       151 = 100

151x/151 = 5400/151    151x/151 = 3600/151

     x = 35.7...                      x = 23.8...

  do not round              do not round

up since you can't      up since you can't

 get more people       get more people

Rick has a piece of lumber that is 12 feet long. He cuts it into pieces that are each 3/4 of a foot long. How many pieces of 3/4 foot lumber will he be able to make?

Answers

Answer:

He will be able to make 16 pieces of lumber

Step-by-step explanation:

Write a fraction equal to 1 with a numerator of 18

Answers

Answer:

18/18

Step-by-step explanation:

18 divided by 18 is one

Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?
A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles​

Answers

Step-by-step explanation:

2/3 of diatance = 10 miles

3/3 of distance = 10 * (3/2) = 15 miles.

The distance between the houses is 15 miles. (B)

Let the total distance covered= x

Distance covered= 10 miles

According to the question,

2/3 of x= 10

=> 2/3 × x= 10

=> 2x/3= 10

=> 2x= 10× 3

=> 2x= 30

=> x= 30/2

=> x= 15

Bob's house is 15 miles away from Henry's house.

Evaluate the following expression when n = 6.
|n - 6| - |5 - n|

Answers

Answer:

-1

Step-by-step explanation:

1. Substitute n with 6 because n=6

2. Then you simply solve both sides so (6-6)-(5-6) because n=6

3.so then you get the absolute value of 0 subtracted by the absolute values of -1

4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1

5. So the final answer is -1

Sorry if this was confusing, I’m really bad at explaining. :)

Answer:

|n-6|-|5-n|

=|6-6|-|5-6|

=|0|-|-1|

=0-1

=-1

Plz help!!!!!!!!!!!!!! Will give brainliest!

Answers

Answer: 2. 3x+54=132

Step-by-step explanation:

3x+54=132

    -54   -54

    3x/3      78/3

x=26

Answer:

1.

m<MNQ =m<P+m<Q exterior angle of a triangle is equal to the sum of two opposite interior angle

2;

132°=3x+54°

3:

132-54=3x

x=78/3

x=26°

The cost of one apple and one banana at the school canteen is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana, using simultaneous equation, elimination method. Show full working out.

Answers

Answer:

I don't know

I don't know

let the apple equal to x and let the banana equal to y

Equation one is x+y= 1

Equation two is 3x+2y= 2.40

Because we are doing the elimination method, multiply all of equation one by 3


3x+3y=3
3x+2y=2.40
(subtract the equations from one another)


So now you have y=60 cents

So, one banana costs 60 cents

Help! I get 10 points

Answers

Answer:

Expression 1= 5

Expression 2 = 1 - 16

Step-by-step explanation:

Find the value of x. Use the photo I uploaded to help plz.
A. X=2
B. X=3
C. X=33
D. X=52

Answers

The answer should be option B

HELP I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!! THIS IS TIME PLZ HELP!!!
(look at the screenshot)
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east and 4 blocks north to a coffee shop. Then she walks 6 blocks west and 5 blocks north to a museum. Where is the museum in relation to her​ hotel? SHOW YOUR WORK!!!

The museum is __ blocks(s) __ (east or west) and __ block(s) (north or south) of her hotel.

Answers

Answer:

2 blocks west and 5 steps north

Step-by-step explanation:

4 blocks west. (6 west minus 2 east)

9 blocks north. (4 north plus another 5 north)

Grab a piece of graph paper to get a visual

A solution to a linear inequality is shown below. The solution steps may not all be correct.
Solve: 4(x - 2) <6(x+3)

Step 1: 4x – 8 < 6x + 18
Step 2: -2x – 8< 18
Step 3: -2x < 26
Step 4: x>-13
Which steps in the solution follow correctly from the
previous step? Select all that are correct
(Select all that apply.)
Step 1
Step 2
Step 3
Step 4

Answers

Answer:

Step 3

Step-by-step explanation:

4x - 8 < 6x + 18

4x - 6x < 18 + 8

- 2x < 26

The steps in the solution that follows correctly from the previous steps are:

Step 1

Step 2

Step 3

Step 4

All the options are correct.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

4(x - 2) < 6(x+3)

Removing the parenthesis.

Step 1:

4x - 8 < 6x + 18

Subtracting -6x on both sides.

4x - 8 - 6x < 6x + 18 - 6x

Step 2:

-2x - 8 < 18

Add 8 on both sides.

-2x < 18 + 8

Step 3:

-2x < 26

Divide both sides by 2.

-x < 13

Multiply - on both sides.

The sign will change.

Step 4:

x > -13

We see that,

All the steps are given correctly.

Thus,

The steps in the solution that follows correctly from the previous steps are:

Step 1

Step 2

Step 3

Step 4

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

who wants to help me I need someone. who has a model test can text
me the tests by taking a picture and I will send my phone number please help me I will help u too​

Answers

Answer:

what's the question.

Step-by-step explanation:

lol

Answer:

whats the question of the test

Step-by-step explanation:

What is the polar form of (x + 3)2 + y2 = 9?

r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)

Answers

Answer:

r = -6 cos(θ)

Step-by-step explanation:

got it right on edge

The equation (x + 3)² + y² = 9 into polar form is r = -6 cos(θ). The correct answer would be option (A).

What is the polar form?

The polar form of a complex number is given by r(cos(θ) + i sin(θ)), where r is the distance from the origin and θ is the angle formed by the point and the positive x-axis.

To convert the equation (x + 3)² + y² = 9 into polar form, we can complete the square on the x and y terms:

(x + 3)² + y² = (x² + 6x + 9) + y² = 9

Then we can express x and y in terms of r and θ:

x = r cos(θ) , y = r sin(θ)

Substituting these values into the equation and simplifying:

r² cos²(θ) + 6r cos(θ) + r² sin²(θ) = 9

r²(cos²(θ) + sin²(θ)) + 6r cos(θ) = 0

r² + 6r cos(θ) = 0

r(r + 6cos(θ)) = 0

Since r ≠ 0

So, the polar form of the equation is:

r = -6cos(θ)

Thus, the correct answer would be an option (A).

To learn more about the Polar Coordinates click here:

https://brainly.com/question/614180

#SPJ5

The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.

y – 1 = (x – 2)
y – 2 = (x – 1)
y – 4 = (x – 4)
f(x) = x +
f(x) = x +

Answers

Answer:

B, C, E Is the answer on edge :3

Step-by-step explanation:

Have a good day :3

Answer:

B C E

Step-by-step explanation:

Katsuki Bakugou was here you Extras

The answer to this question

Answers

Answer:

divide 9 and 21

Step-by-step explanation:

if you divide 9 and 21 u will get ur answer

Reagan found chips for sale at two stores. At Store A, the chips were 6 bags for $4. At store B, the chips were $6 for 4 bags. Reagan said the unit rate was 1:1.5. Which store did she find the unit rate for
PLEASE SOLVE
WILL GIVE BRANLIEST

Answers

Answer:

Store B

Step-by-step explanation:

Please mark brainliest.

she has 3 bags of flour and 2 smaller bags with 0.75 kg and a bigger bag that ha 1.14 how much flower does she have in total

Answers

Answer:

3(1.14) + 2(0.75)

3.42 + 1.5

4.92 kg of flour

Other Questions
Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal? A friend told Sandy that absolute value makes everything positive so Sandy wrote the equation |x-6|=5 as x+6=5. Do you agree with the statement, or with what Sandy did to the equation? Explain your answer. Secretariat is known as the horse with the fastest run in the Kentucky Derby. If Secretariat's record 1.25 mi run lasted 1 minute 59.2 seconds, what was his average speed in m/s a principle orders t-shirts and wants to check some of them to make sure they were printed properly. she opens the closet 2 of the 10 boxes of shirts and checks every shirt in those 2 boxes. what type of sampling is this? A loudspeaker produces a sound wave of frequency 50hz.The amplitude of sound wave is increased.What is heard?A) a louder sound of higher pitch.B) a louder sound of the same pitch. C) a sound of higher pitch but the same loudness.D) a sound of the same pitch and loudness as before. When you eat an apple you are acting as a 14. As you read the sentence below, think about the different types of sentences. She decided to take her brother's key because she wasn't sure when she would be back. What type of sentence is this? interrogative simple fragment complex Zeke oversees a website for nutritional information on fast food. During its first year, the number of times the website was visited hadnet change of +55. During each subsequent month, starting in the next year, the number of visits increased by 320. He wants to findout how many visits his website will get afterx months assuming this rate continuesZeke thinks that the website will have 7,500 visits in less than 2 yearsWhich statements about this situation are true? Select ALL that apply.AThe expression 320x + 55 can be used to represent this situation,The expression that can be used to represent the situation will have a positive rate of change of 55 and a constant of320 32. Sinead bought 2 shirts for $15.82 each and a pair of shoes for $42.37. If shepaid for the items with a $100 bill, how much change did she receive?$25.99$10.17$74.01$41.81 HELP I WILL GIVE MANY THX AND BRAINLIST (it says high school but im in middle)what is 5 in expanded form please help ASAP it is maybe easy for you!!! PLZ HELP ME WITH THIS!?!? I WILL MARK BRAINLIEST!!! Which phrase best completes the diagram?A. Setting a federal budgetB. Running executive departmentsC. Declaring warD. Selecting a vice president Read the excerpt from "Let Bindi Have the Limelight."Weeks shy of ten, Bindi Irwin was presented with the coveted golden statue for Outstanding Performer in a Children's Series. She expressed amazement at having won out over her experienced competitors and gratitude for Bindi the Jungle Girl's staggering U.S. success over such a short time period. What she was most grateful for, though, was the life she got to live every day. "I am the luckiest kid in the world!" she told the media. "I live in a zoo and I get to teach other kids about animals in a fun way -- what more could you want?Why does the author most likely include this information in the article? to show how competitive Bindi feels about protecting threatened animalsto show how honored Bindi feels to be spreading a positive messageto show how grateful Bindi feels that her conservation work is so easyto show how determined Bindi is to make her television show a success PLEASE HELP!!!THIS IS WORTH SO MANY POINTS!! factor with distributive property (no variables) 55 + 35 If two rectangles are similar, what is the length of side x? Give your answer to one decimal place. Rectangle 1: A = 13.4ft B = 4.6ft Rectangle 2: A = 87.1 ft B = x From what you know about "breaking down," whatwould you do to "break down the plot of a story"?O A. Keep up with the story and know it.B. Understand the story's plot.O C. Take the smaller parts and find the largerstory.O D. Take the larger story and find the smallerparts that added to it. Geometry Please help !Would the answer be z is 64? What term refers to elements in group 18 that only react with other elements under special laboratory conditions?