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
zlopas [31]
3 years ago
5

Which of the following is an extraneous solution of square root 4x+41 = x+5

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

x=8 is a extraneous solution.

Step-by-step explanation:

We have: \sqrt{4x+41} =x + 5

→ 4x + 41 =(x+5)^{2}

→ 4x + 41 =(x)^{2}+ 10x + 25

→ 0 =(x)^{2} + 6x -16

Factorizing we have that:

→ (x+8)(x-2)

Therefore, we have two solutions:

x1=-8 and x2=2

Then, we have that when x=-8:

\sqrt{4(-8)+41} = -8 + 5

\sqrt{4(-8)+41} = -3

Therefore, like the result of the square root of the number should be negative, x=8 is a extraneous solution.

You might be interested in
List the sides and angles of △ABC in order from smallest to largest.
Rudik [331]

Answer:

See below

Step-by-step explanation:

Find angle A by subtracting the others from 180

180 - 81 - 17 = 82

Put in order from least to greatest

Angles: B, C, A

Then the opposite sides will follow the same pattern, so they are

Sides: AC, AB, BC

8 0
3 years ago
Read 2 more answers
Fill in the blank with a number to make the expression a perfect square.
Mariana [72]

Answer: 36

Step-by-step explanation: We can actually mental math this question, since perfect squares are squares obviously, 6 squared is <u>36</u>. Hope this helps, 15402256!

3 0
3 years ago
What is the unit rate in dollars for each company?
avanturin [10]
For On call = 10/3.5 = $2.85 for per hour

For talk time 1.25/1/2= $2.5 for per hour
8 0
3 years ago
There are 34 Pre-K children and 29 kinder garden children on the playground, some boys and some girls. The ratio of boys to girl
Natali [406]

There are 27 boys on the playground.

Step-by-step explanation:

No. of Pre-K children = 34

No. of kindergarten children = 29

Total no of children = 29+34 = 63

Ratio of boys to girls = 3:4

Total ratio = 3+4 = 7

Therefore,

boys proportion = \frac{3}{7}

Total number of boys = \frac{3}{7}\ of\ total\ number\ of\ children

Total\ number\ of\ boys = \frac{3}{7} *63\\Total\ number\ of\ boys = \frac{189}{7} \\Total\ number\ of\ boys = 27

There are 27 boys on the playground.

Keywords: Proportion, division.

Learn more about proportion at:

  • brainly.com/question/2283067
  • brainly.com/question/2284968

#LearnwithBrainly

5 0
3 years ago
Which of these nonterminating decimals can be converted into a rational number?
ValentinkaMS [17]

A can be converted since it is a repeating decimal


4 0
3 years ago
Other questions:
  • what property is illustrated by the statement 1×y=y? A. MULTIPLICATIVE IDENTY B. COMMUTATIVE C. ASSOCIATIVE PROPERTY OF MULTIPIL
    11·2 answers
  • Frank has a job at the bottles return depot. He earns $8 an hour plus 15 cents for every box of 1000 recycled containers he coun
    13·1 answer
  • A total of 256 people visted an exhibit at a science museum in 8 hours. What was the unit rate of visitors per hour
    15·1 answer
  • The Pythagorean Theorem ONLY works on which triangle? *
    15·1 answer
  • A recipe for slime calls for 1/4
    8·1 answer
  • An internet service provider charges $1 per GB plus a $12 flat fee. If: • $$ represents the number of GB used • $$ represents th
    11·1 answer
  • Jyoti collects stamps. The table shows the number of stamps she collected over a 12-week period.
    11·1 answer
  • Please help. No links or else I will report you.
    13·1 answer
  • Brainliest if correct
    13·2 answers
  • A cell phone company charges $50 plus $40 per line each month. Luke must spend under $170 on his family's cell phone bill each m
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!