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

Tools -
Question 9
Which expression is equivalent to (x-2)(x - 1)?
A
x²-3x-2
B
x² - 2x-3
с
x²-3x+2
D
x² - 2x + 3

Answers

Answer:

I think It is C or A

Step-by-step explanation:

Answer:

def

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it’s 11 but not sure

Step-by-step explanation:

Answer:

11.4017543

(round if you're supposed to)

Step-by-step explanation:

It is a right triangle so you can use the pythagoreum theorem.

a(a) + b(b) = c(c)

a and b: legs

c: hypostenuse

9 and 7 are legs

the unknown is the hypostenuse

9(9) + 7(7) = c(c)

81 + 49 = c(c)

130 = c(c)

square root of 130 is 11.4017543

c(c) = 130

c = 11.4017543

d. If the speed of a body is increased four times, how will its kinetic energy be affected?
Show by calculation.

e. By how many times will the kinetic energy of a body increase if its speed is tripled?
Show by calculation.

f. What change should be expected in the velocity of a body to maintain the same
kinetic energy, if its mass is increased sixteen times? How?

Is in less time than B. who has more power​

Answers

Answer:

E

Step-by-step explanation:

PLEASE HELP FAST ITS TIMED! I Will Give Brainlist And Extra Points!

Answers

Answer:

-8, -5

Step-by-step explanation:

the answer to number one is -8. For functions, you just plug in the number in the parenthesis for x and then you solve. For number two, it is -5.

Answer:

-8, -5

Step-by-step explanation:

Which of the following best describes the Great Compromise?
A.
Only three-fifths of slaves in the southern states would be counted in the population used to assign the number of representatives in Congress.
B.
Congress would hold the power to levy taxes, but the individual states would determine how the taxes would be collected and paid to the federal government.
C.
The president would be indirectly elected by a super-majority (three-fifths) vote of the state legislatures.
D.
The states' representation in the lower house of the legislature would be divided according to population, and all states would be represented equally in the upper house.

Answers

Answer:

D.

Step-by-step explanation:

the Senate where each state has two Senators, and the House of Representatives where each state has a number of Representatives based on population.

The designers of drink cartons must consider the length of the straw required so that it will reach the bottom
of the carton. We will make the following assumptions:
-the straw must stick out of the carton by an additional 1.5 cm
-the hole is at one vertex of the carton
-the straw must be able to reach into the diagonally opposite corner of the base of the carton
use the formula a^2+b^2+c^2=d^2
CHECK IMAGE FOR VISUAL REPRESENTATION OF THE CARTON

Answers

Answer:

The length of the straw is 13.53 cm

Step-by-step explanation:

Rectangular Prism

A rectangular prism or cuboid is a box-shaped object. It has six flat faces and all angles are right angles. And all of its faces are rectangles.

If the straw must reach into the diagonally opposite corners of the base of the carton, then its minimum length is calculated by:

[tex]d^2= a^2+b^2+c^2[/tex]

Where a,b, and c are the dimensions of the cuboid. The image shows the dimensions of the drink carton: a=6 cm, b=10 cm, c=4 cm (order is not important), thus:

[tex]d^2= 6^2+10^2+4^2=36+100+16=152[/tex]

[tex]d=\sqrt{152}[/tex]

d= 12.33 cm

The straw must stick out of the carton by an additional 1.5 cm, thus the total length of the straw is: 12.33 + 1.5 = 13.53 cm

Answer:

the answer is right above me

Complete the table below for the function y 3.2 0. 0 1 2 3​

Answers

uhmmm... i just need words :)

A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?

Answers

Answer:

4 kilometrs

Step-by-step explanation:

if you add the 2 to another 2 you get four

Answer:

4 kilometres

Hope this helped!

Which statement is shown about the graphs shown?

Answers

Answer: In A it seems that everything got higher and higher by each number going up and that it kept going while in B it din't start in 0 but more between the middle of 1 and 2 and in the end of it, it doesn't go as high as A. Hope this helped

Step-by-step explanation:

please help what is the value of u

Answers

Add 112 plus 32 and you will have it

Answer:

34

Step-by-step explanation:

It is an isosceles triangle.

112 + u + u =180       {Angle sum property}

112 + 2u   = 180

        2u = 180 - 112

        2u = 68

          u = 68/2

         u = 34

WILL MARK YOU BRAINLIEST ANSWER 1-3 plz

Answers

Answer:1)52

2)13

3)22

Step-by-step explanation

The answer to each part is mentioned below -

P = 72RU = 16SU = 22

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a kite TSVU as shown in the image.

{ 1 } -

UT = ST = 20

Perimeter of ΔSUT will be -

P = ST + TU + SU

P = 20 + 16 + 16 + 20

P = 72

{ 2 } -

Perimeter of ΔSUV will be -

P = SV + SU + VU

38 + 26 + VU = 102

VU = 38

ΔSUV ≅ ΔRUV

RU = SR = 16

{ 3 } -

ΔSUV ≅ ΔRUV

SR = RU

4x - 1 = x + 8

4x - x = 8 + 1

3x = 9

x = 3

SU = SR + RU

SU = 4x - 1 + x + 8

SU = 12 - 1 + 3 + 8

SU = 22

Therefore, the answer to each part is mentioned below -

P = 72RU = 16SU = 22

To solve more questions on kites, visit the link below -

brainly.com/question/1041084

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aquelyn’s earning m are a function of the number of lawns n she mows at a rate of $12 per lawn

Answers

Answer:

m = 12n

Step-by-step explanation:

M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.

At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?​

Answers

Answer:

30 degrees

Step-by-step explanation:

If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30

Please brainlist!

I need help..........

Answers

Answer:

Step-by-step explanation:

lol

you need help...

XD

Write the linear equation in slope-intercept form.

-6x + y = 19

Answers

Your answer would be y= 6x + 19


You get rid of the variable on the left side by adding it to both sides giving you y = 6x + 19
Hope it helps

How much closer to the sun is one planet than the other?

Answers

Answer:

C. 7.79 x 10^8

Step-by-step explanation:

Your Equation: (eight-point-one multiplied by ten to the eighth power) subtracted by (nine-point-one multiplied by ten to the seventh power)

so first we find out how much are in the parentheses :D

(8.7 x 10^8) = 870,000,000

(9.1 x 10^7) = 91,000,000

now you subtract 870,000,000 by 91,000,000.

 870,000,000

-    91,000,000

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

 779,000,000

converted back to standard form...

7.79 x 10^8

(seven and seventy-ninths multiplied by ten to the eighth power)

<3 Enjoy,

    Dea

Answer:

i think the answer if C if y get it wrong im sooo sorry

50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?

Answers

Answer:

Southwest

Step-by-step explanation:

Southwest always has good timing.

Answer:

SouthWest airlines

Step-by-step explanation:

It is the best Airlines and will always arrive on time

question 15: Given l∥m, find the value of x.

Answers

Answer:

x=8

Step-by-step explanation:

the addition of all the angles must equal 360(the 4 angles on the intersection) degrees

125+125=250

360-250=110

110/2=55

7*8-1=55

4x+8 =20
- 4x + 2y = -30

Answers

Answer:

first one is x=3

Step-by-step explanation:

Solve the equation -2(y - 1) = 9.
-11/2
7/2
11/2
-7/2

Answers

Hope this helps !! Did it step by step

Answer:

-7/2

Step-by-step explanation:

Use distributive property: a(b +c) = a*b +a*c

-2(y-1) = 9

y*(-2) - 1*(-2) = 9

-2y + 2  = 9  {Subtract 2 from each side}

-2y       = 9 - 2

      -2y = 7       {Divide each side by -2}  

         y = 7/-2

y = -7/2

One admission to an ice skating rink costs x dollars, and renting a pair of ice skates costs y dollars. Your friend says she can determine the exact cost of one admission and one skate rental. Is your friend correct

Answers

The true statement is that your friend's claim is correct

What is a linear function?

The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope

A linear function is represented as:

[tex]y=mx+c[/tex]

The costs are given as:

Admission costs $xA pair of ice skates costs $y

So, the cost of one admission and one skate rental is:

[tex]Cost = x + \frac y2[/tex]

Hence, your friend's claim is correct

Read more about linear functions at:

https://brainly.com/question/14323743

Determine which number would satisfy the inequality 3y-8>22. Choose all that apply.
A. 13
B. 0
C. -5
D. 10
E. 11

Answers

Answer:

my best guest would be only 10

Step-by-step explanation:

There are 13, and 11 are would satisfy the given inequality 3y - 8 > 22. The correct answer would be options (A), and (E).

What is inequality?

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

3y - 8 > 22

We have to determine which number would satisfy the inequality.

As per the question, we have

⇒ 3y - 8 > 22

Add 8 both sides of the above inequality,

⇒ 3y - 8 + 8 > 22 + 8

⇒ 3y > 30

Divided 3 into both sides of the inequality, we get

⇒ y > 30/3

⇒ y > 10

So, we can conclude that 13, and 11 would satisfy the inequality.

Hence, the correct answer would be options (A), and (E).

Learn more about inequalities here:

brainly.com/question/20383699

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2.5 years = (how many weeks)

Answers

Answer:

130.357 weeks

Step-by-step explanation:

Problem
Choose the inequality that represents the following graph. 32 points

Answers

It would be D because the circle is closed so it’s less than or equal to

Answer:

D

Step-by-step explanation:

cause its going bigger, but it also has 0 in the line so it could have 0 in it. So its D

How do you write -2.16 as a fraction?
The choices are up there

Answers

Answer:

i got -2 4/25

Step-by-step explanation:

i think i might be wrong

Answer:

the answer is the 1st its a positive and if not then its the 2nd one

Step-by-step explanation:


In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2

Answers

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3

7 divided by 5 over 8

Answers

Answer:

Step-by-step explanation:

7÷ 5/8 change to multiplication and flip the fraction

7*8/5 place 7 over 1

7/1*8/5  multiply

56/5 or 11 1/5

PLZ HELP The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region. What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box​

Answers

Answer:

I think it 25?

Step-by-step explanation:

What value of x is in the solution set of 8x - 6 > 12 + 2x?
0 -1
оо
0 3
O 5

Answers

Answer:

3 is the correct answer

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

              8*x-6-(12+2*x)>0

         

            6x - 18  =   6 • (x - 3)

The value of the inequality is x > 3 , which is 5

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

8x - 6 > 12 + 2x

Subtracting 2x on both sides , we get

6x - 6 > 12

Adding 6 on both sides , we get

6x > 18

Divide by 3 on both sides , we get

x > 3

So , the value of x is numbers greater than 3

Hence , the inequality is x > 3

To learn more about inequality equations click :

https://brainly.com/question/11897796

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please help. problem involving magic squares

Answers

Step-by-step explanation:

First, let us find the magic sum in each row/column/diagonal.

Sum of numbers from 1 to 9 = 45.

45 divide by 3 rows = 15 each row.

The magic sum is 15.

For the diagonals, we have:

8 + 5 + x = Magic sum = 15,

6 + 5 + y = Magic sum = 15.

Therefore x = 2 and y = 4.

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