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
sergij07 [2.7K]
3 years ago
6

Classify the solutions of 1 over x plus 4, plus one half, equals 1 over x plus 4 as extraneous or non-extraneous.

Mathematics
2 answers:
lara [203]3 years ago
7 0

Answer:

x=-4 , Extraneous

Step-by-step explanation:

Given : Equation - \frac{1}{x+4}+ \frac{1}{2}=\frac{1}{x+4}

To classify : The given equation as extraneous or non-extraneous ?

Solution :  

An extraneous solution is one that we arrive at that will not work in the equation.

For rational equations, extraneous solutions are ones that will cause the denominator to be 0.

So, first we solve the given equation

\frac{1}{x+4}+ \frac{1}{2}=\frac{1}{x+4}

Taking LCM to LHS

\frac{2+x+4}{2(x+4)}=\frac{1}{x+4}

Cancel (x+4) both side,

\frac{x+6}{2}=1

Cross multiply,

x+6=2

x=-4

Now, if we put x=-4 in the equation the denominator is zero.

Therefore, It is an extraneous solution.

katrin2010 [14]3 years ago
3 0

X=-4 ; extraneous is your answer

You might be interested in
Which shows how the distributive property can be used to evaluate 7x8 4/5?
Yuri [45]

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

5 0
2 years ago
Read 2 more answers
I NEED HELP PLEASE THANKS
Simora [160]

Answer:

D. Reflect across the x-axis, then shift 4 units up

Step-by-step explanation:

In this case, reflecting across the x-axis just means going 4 units down. To go back up, go 4 units up.

8 0
2 years ago
What is the solution set of {x | x < -3} ∩ {x | x > 5}
lozanna [386]
Any x in this set will be real numbers that are both less than -3 and greater than 5. But that's not possible, so this set is empty.
7 0
3 years ago
Find the slope of the line that contains the points.<br> (4,54) and (9,24)
Naya [18.7K]
<span>the Slope would be (m) =<span>-6</span></span>
8 0
3 years ago
Read 2 more answers
(7-4n) x 6= I need the answer as quick as possible
Paraphin [41]

Answer:

42 - 24n

Step-by-step explanation:

(7-4n)  6

Distribute

7*6 - 4n*6

42 - 24n

4 0
3 years ago
Read 2 more answers
Other questions:
  • Can anyone help me with #4
    13·2 answers
  • A worm travels 1250 millimeters how many meters did it travel
    5·1 answer
  • Would it be 32? please I need to knw if i'M RIGHT
    6·1 answer
  • Solve for y: x/y - 8 = w
    10·1 answer
  • The class midpoint of a class is
    14·1 answer
  • Find A ∩ B given A = {the Integers} and B = {the Rational numbers}.
    11·1 answer
  • A square is always a rectangle. <br> True<br> False
    7·1 answer
  • Please help, will give brainliest answer
    10·1 answer
  • Can someone please help me solve this. So confusing
    11·1 answer
  • Donnalyn bought 2 1/2 kilograms of Longanisang Imus and her daughter bought 1 1/4 kilograms. They cooked 3/4 kilograms for break
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!