Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.

No solution
x = 0 and x = −2
x = −2; x = 0 is an extraneous solution
x = 0; x = −2 is an extraneous solution

Answers

Answer 1

The value of x in the equation [tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex] are x = 0 and x = -2

How to solve the rational expression?

The expression is given as:

[tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex]

Cross multiply

[tex]x(x - 2) =2 * x^2[/tex]

Open the bracket

[tex]x^2 - 2x =2x^2[/tex]

Collect like terms

[tex]- 2x =2x^2 - x^2[/tex]

Evaluate the like terms

[tex]- 2x =x^2[/tex]

Rewrite as:

[tex]x^2 + 2x =0[/tex]

Factor out x

x(x + 2)  =0

Expand

x = 0 or x + 2 = 0

Solve for x

x = 0 or x = -2

Hence, the value of x are x = 0 and x = -2

Read more about equations at:

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Related Questions

On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders
3 pizzas, and the total price is $26.28. What is the unit price of each pizza? (4 points)

Answers

Answer:

$78.84

Step-by-step explanation:

$26.28 multiplied by 3 is $78.84

Can someone please help me
I need this as soon as possible
No links please and don't answer if you don't know what the answer it ​

Answers

Answer:

#5. m<NMO = 44 and X = 9

Step-by-step explanation:

#5. 5x - 1 + 3x + 4 = 75 (<NMP is the entire angle, which equals 75.)

combine like terms

8x + 3 = 75

subtract 3 from both sides and divide 8.

x = 9

5(9) - 1

m<NMO = 44

#6

solve for k.
k(4r−5)≥12r−9

Answers

Answer:

[tex]k = \frac{12r - 9}{4r - 5} \\ [/tex]

Step-by-step explanation:

[tex]k(4r - 5) \geqslant 12r - 9 \\ k = \frac{12r - 9}{4r - 5} \\ [/tex]

please help

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in the diagram?

picture attached

Answers

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:


PLEASE ANSWER I WILL GIVE A BRAINLIEST ANS THANKS!!!!<333!

Answers

Answer:

17. i

18. a

19. g

20. d

21. h

22. j

23. b

24. f

25. c

26. e

Which table represents a linear function?

Answers

Answer:Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.

So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values.

For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.

A piano has a length of 8 feet and a width of x+2 feet, write an expression in simplest form of the perimeter of the piano.

Answers

Answer: 2(x + 10)

Step-by-step explanation: you have to add all of the perimeter sides together so you will have to times the length by 2 so your equation would be (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) now you add them together

16 + 2x + 4

2x + 20

Now you have to take out the highest common factor which is 2

So it will be 2(x + 10)

JUST ANSWER NUMBER 10

Answers

Answer:

answer is (14x+6) hope it helps

Ah XD de v b j 14x-6

Express 20g as a percentage of 1kg

Answers

Answer:

2% of 1kg

Step-by-step explanation:

20g/1kg x 100

= 20g/1000g x 100

1/50 x 100

=2

Therefore, 20g is 2% of 1kg

Hope it helps you

Answer:

2%

Step-by-step explanation:

1kg=1000g

=20/1000×100%

=2%

help
Sam’s mom bought some apples:

4 bags of 10 apples,

5 bags of 20 apples,

12 bags of 30 apples,

How many apples did Sam’s mom buy?

Answers

Answer:

500

Step-by-step explanation:

4 times 10 equal 40

5 times 20 equals 100

12 times 30 equals 360

360

+ 100

40

________

500

The recipe calls for 223 cups sugar. If Brody is tripling the recipe, how much sugar will he need?

Answers

Answer:

669 cups of sugar

Step-by-step explanation:

223 x 3 = 669

Johnny went out to dinner with his two friends. Johnnys meałeast $12.32, Marks

meal cost $11.23, and Annas meal cost $7.89. After a tax of 8% and chipsi 5%,

What is the total amount of the bill?

Answers

Answer:

$35.53

Step-by-step explanation:

12.32+11.23+7.89=31.44

31.44*0.08(for the 8% tax)=2.52

31.44*0.05=1.57

31.44+2.52+1.57=35.53

what is 523,278,and 351 .Estimate the total

Answers

Answer:

Your weight...

Step-by-step explanation:

Which shows another way to write 6 - 9?

9 - 6

9 - (-6)

6 + 9

6 + (-9)

Answers

the answer is 6+(-9)
6+(-9) is another way to write 6-9

Use the figure below to answer the question

Solve for x

Answers

Answer:

Step-by-step explanation:

The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with six sides, so we will let n = 6. The sum of the interior angles in this polygon would be 180(6 – 2) = 180(4) = 720. The angle on the bottom left is a right angle because of the square indicator. We know that this is 90 degrees. If we take the sum of the angles that we know we get 593. 720 - 593 = 127. x = 127.

Answer:

x=127

Step-by-step explanation:

take 180(n-2) where n=6, and you get 180(6-2) which simplified is 180(4) = 720. The sum of all the other angles is 593. subtract 593 from 720 (720-593=127). 127 is the angle of x.

all the steps laid out:

1. 180(n-2)

2. n=6

3. 180(6-2)

4. 180(4) = 720

5. 126 + 112 + 155 + 110 + 90 = 593

6. 720 - 593 = 127

7. x=127

Which of these inequalities expresses all of the solutions to 4 <= 8-2x<6

Answers

Answer:

1 < x ≤  2

4 ≤ -2(x-4) < 6

Number line see attached.  x = 2

Step-by-step explanation:

4< = 8-2x < 6

4 ≤ -2(x-4) < 6

1 < x ≤  2

ok pls help ty
Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay. Francine got 34 multiple choice questions correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay.

How many points was each multiple choice question worth?

Enter your answer in the box.

Answers

Answer:

Francine's score: 34x + 14

Cheryl's score: 30x + 22

Equal scores => 34x + 14 = 30x + 22

34x - 30x = 22 - 14

4x = 8

x = 8 /4 = 2.

Answer: 2  

Step-by-step explanation:

a janpanese chin is a small dog that weight 7 pound how many ounces is 7 pounds

Answers

Answer:

112 ounces

Step-by-step explanation:

1 pound = 16 ounces

We are converting 7 pounds to ounces

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Giải phương trình:
sin*2x+sinxx.cox=1/2

Answers

Answer:

x = 9.47 degrees  ( in first quadrant.

Step-by-step explanation:

sin2x + sinx cos x = 1/2

Now sinx cos x = 1/2sin2x so:

3/2sin2x = 1/2

sin2x = 1/2 / 3/2

sin2x = 1/2 * 2/3 = 1/3

2x = arcsin 1/3 = 19.47 degrees

x = 9.74 degrees to nearest hundredth.

Mrs.Roberts drives 3/4 miles in 1/2 minute. How many miles can she drive in 1 minute?

Answers

Answer:

1 1/2  OR 1.5 in decimal form

Step-by-step explanation:

If Mrs. Roberts drives 3/4 miles in half a minute, 1/2 x what = 1? 2. Multiply both items by 2. 3/4 x 2 = 6/4, also known as 1 1/2 or 1.5 Hope this helped!!

209
У.
Х
120°
y = [ ? 1°

Answers

Answer:

140

Step-by-step explanation:

one exterior = the sum of two interior

Help please help me please

Answers

Answer:

Step-by-step explanation:

can somebody please help mee!!!!

Answers

Answer:

[tex]first \: w \: do \\ \\ 180 - 154 \\ \\ = 26 \\ \\ second \: we \: do \: \\ \\ x + 10 + x + 26 = 180 \\ \\ 2x + 36 = 180 \\ \\ 2x = 180 - 36 \\ \\2 x = 144 \\ \\ x = \frac{144}{2} \\ \\ x = 72[/tex]

Answer:

x = 72

Step-by-step explanation:

The exterior angle is the sum of non-adjacent interior angles:

x + x + 10 = 1542x = 154 - 102x = 144x = 144/2x = 72

The other interior angle is 82°

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Answers

62- 1,2, 31,62
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x equal
(simplify your answer)

Answers

Answer:

the answer is x = -1

so yea

Answer:

very easy first open the bracket and then Bodmas

The sum of the terms of an infinite sequence is called

Answers

Answer:

series

Step-by-step explanation:

the answer of the question is series

Consider the matrices.

Answers

Answer:

Attached

Step-by-step explanation:

On a morning in December, Carl wakes up and checks the thermometer. He reads that it is -10°F. In two hours he checks and the temperature has risen 4°F. In another three hours the temperature has risen 7°F. At the last time, he checks the thermometer, what is the temperature? Also writes an addition equation that models this situation​

Answers

Answer: 1 degree Fahrenheit

Step-by-step explanation:

The temperature starts at -10 degrees F, so if in two hours, the temperature has risen by 4 degrees, then the new temperature is -10 + 4 = -6 degrees F. 3 hours later, the temperature has risen another 7 degrees, so the new temperature is -6 + 7 = 1 degrees F. "addition equation" is ambiguous without knowing what class you are taking, but one such equation to represent the situation could be T = -10 + 4 + 7 = 1.

On a bicycle Jack can travel 20 miles in 4 hours What are the unit ratios in this situation?​

Answers

4:20 dived the 20 by 2 n the 4 by 2
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Answers

Answer:

n=35

Step-by-step explanation:

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