Worth 30 points.

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

the square root of x minus 3 plus five equals x.

Picture of question and equation attached.

Answers

Answer 1

Answer:

x=7 valid solution

x=4 extraneous solution

Step-by-step explanation:

sqrt( x-3) +5 = x

Subtract 5 from each side

sqrt( x-3) +5 -5= x-5

sqrt( x-3)  = x-5

Square each side

(sqrt( x-3))^2 = (x-5)^2

Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25

x-3 = x^2 -10x+25

Subtract x from each side

-3 = x^2 -10x -x+25

Add 3 to each side

0 = x^2 -11x +25 +3

0 = x^2 -11x+28

Factor

0 = (x-7)(x-4)

Using the zero product property

x-7 =0  x-4=0

x=7  x=4

Check the solutions

sqrt( x-3) +5 = x

x=7

sqrt( 7-3) +5 = 7

sqrt(4) +5 = 7

2 +5 = 7  valid solution

x=4

sqrt( 4-3) +5 = 4

sqrt(1) +5 = 4

1 +5 = 4    not true   extraneous solution


Related Questions

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Answers

Answer:

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Step-by-step explanation:

and u will get your answer

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Answer:

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Step-by-step explanation:

(Refer to picture)

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

2/14, 3/21, 4/28. just multiply 1 and 7 by the same number to come up with an equivalent fraction

Answer:

Some include: 3/21, 4/28, 5/35.

Step-by-step explanation:

You multiply the bottom by a number and then you multilpy the top by that same number!

1/7=3/21

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7 times 3=21


A hairdresser is deciding to open her own studio. If the hair dresser chooses Location A she will pay $1200 in rent and will earn $45 per
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Answers

Answer: x = Number of haircuts

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Location B profit: 60x-1800

(Lets assume that the profit is the same for each location)

45x-1200=60x-1800

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Hope this helps!

Step-by-step explanation:


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Answers

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Answers

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

Answer:

it is 32

Step-by-step explanation:

Charlie's homemaking class makes aprons to give to a local soup kitchen. Each apron requires 2 1/4 yards of fabric, and the cost of fabric per apron is $9. What is the cost of 1 yard of fabric?​

Answers

Answer:

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Step-by-step explanation:

Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).

Answers

2x + 5y = 15
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Answers

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

length times width = area

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

1/

129x .75 = 96.75=97

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2/

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Answers

Answer:

C.

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Exact Form:

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Decimal Form:

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Step-by-step explanation:

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Answers

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Step-by-step explanation: go with the first one

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

156 minutes

Step-by-step explanation:

2 hrs=120 minutes

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brainliest?

Answer:

156 minutes

Step-by-step explanation:

2*60=120

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Brainliest Appreciated!

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

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Answer:

  see attached

Step-by-step explanation:

The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.

__

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Answer:

see attached

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

Answer: Any number divided by 0 is undefined.

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