Which value(s) of x are solution(s) of the equation below

Which Value(s) Of X Are Solution(s) Of The Equation Below

Answers

Answer 1

Hi there!

[tex]\large\boxed{x = -1}[/tex]

We can solve by multiplying each term to get a common denominator:

[tex]\frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{x^2-6x+8}[/tex]

[tex]\frac{x -2}{(x - 4)(x - 2)} + \frac{x(x - 4)}{(x - 2)(x - 4)} = \frac{2}{x^2-6x+8}[/tex]

Since the denominators are all the same (x² - 6x + 8 factors to (x - 2)(x - 4)), we can ignore them temporarily and solve the numerator:

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

Simplify:

x - 2 + x² - 4x = 2

x² - 3x - 4 = 0

Factor:

(x - 4)(x + 1) = 0

x = -1, 4

For the values of x to be a solution, they cannot cause the denominator to be equal to 0, so:

(x - 2)(x - 4) = 0

x = 2, 4. These values result in a denominator of 0, which is undefined.

Thus, the only solution is x = -1.


Related Questions

determine the value of x

Answers

Answer:

12x-4 =80

12x =84

x. =7 ,,

Please show working out.........

Answers

Answer: Can you put a better picture this is blurry

Step-by-step explanation:

Skyler has 20 comic books about the Avengers. He goes to the comic book
store and after he leaves, he now has 26 Avengers comics. What is Chris'
percent increase in Avenger comics? *

Answers

I love Marvel but anyways i think it’s 6%

Answer:

6%

Step-by-step explanation:

What is the length of the missing leg?

Answers

Answer:

Hello! answer: 6

Step-by-step explanation:

8 × 8 = 64

6 × 6 = 36

64 + 36 = 100

√100 = 10 so therefore a = 6 Hope that helps!

find the value of x and y​

Answers

Answer:

5 = y

6.5 = x

Step-by-step explanation:

Since all the angles are the same, you can determine that all the sides are the same lengths.

8 = y + 3

8 - 3 = y

5 = y

8 = 2x - 5

8 + 5 = 2x

13 = 2x

13/2 = x

6.5 = x

Answer:

2x - 5 = 8

+5        +5

2x = 13

Divide by 2 on both sides:

X = 6.5

Y + 3 = 8

-3        -3

Y = 5

They must equal 8 since all sides are the same.

The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.
If they played 43 games, how many did they lose?
А.
36
B. 32
C. 28
D. 24
E. 20

Answers

Answer:

a.36

Step-by-step explanation:

tie is not sure of winning or lose

so,5 tied may consider as lose too

GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT


What are the zeroes of f(x) = x2 − 2x − 3?

x = −3, 1
x = −3, −1
x = 3, 1
x = 3, −1

Answers

Answer:

x=3             x = -1

Step-by-step explanation:

f(x) = x^2 − 2x − 3

Set the function equal to zero

0 = x^2 − 2x − 3

Factor

What two numbers multiply to -3 and add to -2

-3 *1 = -3

-3+1 = -2

0 = (x-3)(x+1)

Using the zero product property

x-3 =0     x+1 =0

x=3             x = -1

What is the slope of the line?
PLEASE HELP!

Answers

Answer:

0

Step-by-step explanation:

horozontal lines are always 0

i hope im not wrong, sorry if i am but im 90% sure im right

Subtract 14pqr − 2qrs + 10prs from 6pqr - 5qrs - 7prs

Help needed and quick!!!!!!

Answers

Answer:

- 8pqr - 3qrs - 17prs

Step-by-step explanation:

(6pqr - 5qrs - 7prs) - (14pqr − 2qrs + 10prs) = (6pqr - 14pqr) + (-5qrs - - 2qrs) + (-7prs - 10prs)

= - 8pqr - 3qrs - 17prs

A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.

Answers

Answer:

the height of a square pyramid is 139.3 cm

Which expression is equivalent to (x^1/2y^-1/4z)^-2

Answers

Answer:

[tex]\sqrt{y}[/tex] ÷ xz²

Step-by-step explanation:

multiply the exponent of 'x' by -2 to get -1

multiply the exponent of 'y' by -2 to get 1/2

multiply the exponent of 'z' by -2 to get -2

= (x^-1)(y^1/2)(z^-2)

= 1/x · [tex]\sqrt{y}[/tex] · 1/z²

=  [tex]\sqrt{y}[/tex] / xz²

2) Escreva a expressão algébrica que representa cada uma das seguintes condições:

a) o triplo de um número y somado com um número x______________

b) a diferença entre o quadrado do número a e o dobro do número b___________


c) o quádruplo do número t aumentado da metade do número m____________

d) a diferença entre o produto o produto do número x pelo número y e o quadrado do número

a_________


rápido pfv gnt preciso entregar essa atividade hoje T-T

Answers

Answer:

a) 3y + x

b) a ^ 2 -2b

c) t ^ 4 + m / 2

d) xy - x ^ 2-y ^ 2

Step-by-step explanation:

a) o triplo de um número y adicionado a um número x ______ 3y + x ________

b) a diferença entre o quadrado do número a e o dobro do número b ______ a ^ 2 -2b _____

c) quadruplicar o número t aumentado pela metade o número m _______ t ^ 4 + m / 2 _____

d) a diferença entre o produto do produto do número x e o número y e o quadrado do número

The____xy - x ^ 2-y ^ 2 _____

Which other parts must be equal for triangle ABC= triangle MTR by

Answers

Answer:

see below

Step-by-step explanation:

ASA stands for Angle-side-Angle

thus, for ∆ABC[tex]\cong[/tex]∆MTR

[tex] \displaystyle \angle C \cong \angle R[/tex]

SAS stands for Side-angle-Side

thus,for ∆ABC[tex]\cong[/tex]∆MTR

[tex] \displaystyle \overline{ MR }\cong \overline{MT}[/tex]

likewise,

AAS stands for Angle-Angle-Side

thus,for ∆ABC[tex]\cong[/tex]∆MTR

[tex] \displaystyle \angle M \cong \angle T[/tex]

i need the answer!!! please

Answers

Answer:

sinx = e/f

cosx = d/f

tanx = e/d

Step-by-step explanation:

soh cah toa

sin= opposite/hypotenuse

cos= adjacent/hypotenuse

tan= opposite/adjacent

What is the approximate volume of the cylinder? Use
for 22/ 7. Round to the nearest whole number.

Answers

Answer:

3rd one

Step-by-step explanation:

helpppppppppppppppppppppppp asappppp!!!!!!!!!!1

Answers

Answer:

(2) angle EZD = angle AZB (vertically opposite angles)

angle EZD = 90 degree

(3) angle DXC = 180 - 143 (Linear Pair axioms)

                   = 37 degree

Hope u understand

Please mark as brainliest

Thank You

The measure <EZD = 90°

The measure <DXC = 37°

I hope you understand....

This is a Right answer....

Long division method of 47089. What’s the square root of 47089 in long division method? Do write it in simple way please.

Answers

Answer:

use math.way

Step-by-step explanation:

1/6 and 3/8=? what is the answer

Answers

Answer:

4/24 + 9/24 = 13/24

Find a common denominator which would be 24 atleast.

Look at the two 2s in this number

Answers

Answer: What number?

Step-by-step explanation:

Answer:

In what number... is this a trick question or did you just not finish your question??

Step-by-step explanation:

use the picture to find each of the following

Answers

[tex] \large{ \tt{☄ANSWERS \: + \: REASONS}} : [/tex]

[tex] \large{ \tt{ \angle \: 7 = \boxed{ \tt{38 \degree}}}} \: ( \text{Being \: alternate \: angles)}[/tex]

[tex] \large{ \tt{38 \degree + \angle 4 = 180 \degree}}( \text{Sum \: of \: co - interior \: angles}[/tex]

[tex] \: \: \: \: \: \large{ \tt{ ↦\angle \: 4 = 180 \degree - 38 \degree = \boxed{ \tt{142 \degree}}}}[/tex]

[tex] \large{ \tt{ \angle \: 1 = \angle \: 4 = \boxed{ \tt{142 \degree}( \text{Being \: vertical \: angles)}}}}[/tex]

[tex] \large{ \tt{ \angle \: 8 = \angle \: 4 = \boxed{ \tt{142 \degree} \text{(Being \: corresponding \: angles)}}}}[/tex]

[tex] \large{ \tt{ \angle \: 6 = \angle \: 1 = \boxed{ \tt{142 \degree} \text{(Being \:corresponding \: angles) }}}}[/tex]

[tex] \large {\tt{ \angle \: 2 = \boxed{\tt{38 \degree}}\text{(Being \: corresponding \: angles)}}}[/tex]

[tex] \large{ \tt{ \angle \: 3 = \boxed{\tt{38 \degree} }\text{(Being \: alternate \: angles)}}}[/tex]

[tex] \large{ \tt{✺ \: TIPS} }: [/tex]

If you have planned for study at 8:00 and now it's 8:05 then don't wait for 9 : 00 , Start studying that subject right now ! ♪

[tex] \large{ \tt{❃ \: LEARN \: ABOUT \: ALTERNATE \: , CORRESPONDING\:AND \: CO - INTERIOR \: ANGLES}} : [/tex]

https://brainly.com/question/17147541

ツ Hope I helped! ♡

☼ Have a wonderful day / evening ! ☃

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Sonya worked as a dog walker for $9.30 per hour and worked 20 hours each week. Later that year she moved and had to get a new job. Her new job was washing dishes. She was paid $7.50 per hour working 40 hours each week. What is the difference in income per week between the dog walking and dishwashing jobs.? *​

Answers

49484758584834:484848488444

Answer:

She makes $114 more doing dishes.

Step-by-step explanation:

(9.30x20)-(7.50x20)

If A and B are supplementary angles and A is times as large as ​B, find the measures of A and B.

Answers

I can solve this but you never wrote how many times a is bigger than b

PLEASE ANSWER QUICK. I AM SO CONFUSED. HELP. ​

Answers

Answer:

Slope: 2

This is because it is going up two blocks within one block space.

Feel free to mark it as branliest :D

gradient = 2

Rise over Run = 5 / 2.5 = 2

1. Find the value of y when x = 3.
y = 3(x+7) + 12

Answers

y= 42. 3(3+7)+12
3(10)+12
30+12
42
y=42
When x = 3 the value of y = 3(3+7) + 12

y = 3(3+7) + 12
= 42

Please HELP ME ASAP quick

Answers

3 trips-

2 * 2 = 4

3 * 2 = 6

5 * 2 = 10

Therefore, working together, the squirrels would only collect 20 acorns during two trips.

This means they would need to take three trips to collect 24 acorns with a remainder of 6 acorns.

2 * 3 = 6

3 * 3 = 9

3 * 5 = 15

30

30-24 = 6

How many blocks having 2m² volume of each are there in a wall having volume 600m³?​

Answers

9514 1404 393

Answer:

  300 blocks

Step-by-step explanation:

The number of blocks is ...

  (600 m³)/(2 m³/block) = 600/2 blocks = 300 blocks

3.
A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is
red: green : blue =
12:5:2
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.​

Answers

Answer:

32

Step-by-step explanation:

Since there is 112 more red marbles than green marbles,

7 units= 112

1 unit= 112÷7= 16

2 units(no. of blue marbles)=16×2=32

What is the estimate of 35214

Answers

Answer:

4000

Step-by-step explanation:

Rodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?
Please help this is due in an hour or so and I really need help

Answers

Answer:

Loss of $.35

Step-by-step explanation:

Income per t-shirt = 1302/120 = 10.85

Expense per t-shirt = 1344/120 = 11.20

Loss per t-shirt = 11.20 - 10.85 = .35

if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food​

Answers

Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food​

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

300 * 30 = 100 * x

9000 = 100x

x = 9000/100

x = 90

x = number of calories = 90 calories

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