1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aliya0001 [1]
3 years ago
8

Which of the following is an extraneous solution

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

3 or

C

Step-by-step explanation:

(45 - 3x)^1/2 = x - 9                     Square both sides

45 - 3x = x^2 - 18x + 81               Switch sides

x^2 - 18x + 81 = 45 - 3x               Add 3x to both sides

x^2 - 15x + 81 = 45                      Subtract 45 from both sides

x^2 - 15x + 36 = 0                       Factor

(x - 12)(x - 3) =0

The answers are

x = 12

x = 3

Now the question asks which is extraneous. The answer will be which ever number won't solve the original equation. Looking at it right now, both look OK.

(45 - 3*12)^1/2 = 12 - 9

(45 - 36)^1/2 = 3

(9)^1/2 = 3

So 12 is a proper solution.

What about 3?

(45 - 3*3)^1/2 = 12 - 3

(45 - 9)^1/2 = 9

36^1/2 = 9

6 does not = 9

The extraneous solution is x = 3

You might be interested in
What is the answer, please tell me the answer and thank you.
djverab [1.8K]

Answer:

f(7)=1,11\sqrt{7} =2,9

Step-by-step explanation:

7 0
3 years ago
Drag the tiles to the boxes to form correct pairs.
Trava [24]

Answer:

Answer in the picture.

6 0
4 years ago
Read 2 more answers
Simplify 30-(18/9+3) plz hurry
Leni [432]

Answer:

25

Step-by-step explanation:

18 / 9 = 2 (Order of operations

2+3 = 5

30 - 5 = 25

4 0
3 years ago
Eddie the elf made 13 toys one day in the workshop. some were dolls and the rest were action figures. the number of action figur
Lunna [17]
To solve this problem we first call x = number of action figures, y = number of dolles. A system of two equations with two unknowns must be made to describe the problem. The system is the following:
 (x + 1) + y = 13
 1/2 * x = y.
 Then solving the system we have that x = 8 and y = 4.
 Since we know that the number of action figures is twice as many dolls plus one, then x = 8 + 1 = 9.
 Thus,
 dollos = 4
 action figures = 9
3 0
3 years ago
Timmy's car can travel an average of 135 miles on 5 gallons of gas. How many gallons of gas will it use to travel 324 miles?
nika2105 [10]

Answer:

The answer is 12 cause 135 ➗5=27 then 324 ➗27 =12...

Step-by-step explanation:

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Help me please I have no clue
    15·2 answers
  • Factor completely 49x2 − 81
    13·2 answers
  • Which of the following is a like radical to mc001-1.jpg?
    11·2 answers
  • your baseball team has won 6 games and lost 4 games. if the team does not lose any more games, how many games must the team win
    13·1 answer
  • Alice ate 3/8 of her sandwich. Later , for a snack , ate another 3/8 of the sandwich write an addition sentence that shows how m
    10·1 answer
  • an plumber charges a flat rate of $25 for a job and $15 for each hour that he works on the job.how many hours did the plumber wo
    5·1 answer
  • How do you solve this?
    10·2 answers
  • A park is in the shape of a rectangle 300 feet long 50 feet wide Amaya is standing at one corner of the park at point x he then
    8·1 answer
  • Here is the question PLEASE HELP!!!!!
    11·2 answers
  • if the gas tank in glens car can hold 12 gallons and its 80% full how many gallons of gas are in the gas tank
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!