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
morpeh [17]
3 years ago
14

How many extraneous solutions does the equation below have?

Mathematics
2 answers:
aev [14]3 years ago
8 0

Answer:

A solution is said to be extraneous, if it is a zero of the equation, but it does not satisfy the equation,when substituted in the original equation,L.H.S≠R.H.S. 

The given equation consisting of  variable , m is

   \frac{2 m}{2 m+3} -\frac{2 m}{2 m-3}=1\\\\ 2 m[\frac{1}{2 m+3} -\frac{1}{2 m-3}]=1\\\\ 2 m\times \frac{[2 m-3 -2 m- 3]}{4m^2-9}=1\\\\ -6 \times 2 m=4 m^2 -9\\\\ 4 m^2 +1 2 m -9=0\\\\m=\frac{-12 \pm\sqrt{12^2-4 \times 4 \times (-9)}}{2\times 4}\\\\m=\frac{-12 \pm \sqrt {144+144}}{8}\\\\m=\frac{-12 \pm \sqrt {288}}{8}\\\\m=\frac{-12 \pm 12 \sqrt{2}}{8}\\\\m=\frac{3}{2}\times(-1 \pm \sqrt{2})

None of the two solution

m=\frac{3}{2}\times(-1 +\sqrt{2}) and , m=\frac{3}{2}\times(-1 -\sqrt{2}), is extraneous.

Here, L.H.S= R.H.S

Option A: 0→ extraneous

8090 [49]3 years ago
3 0
A they all equal to zero when simplified
You might be interested in
I need help please please
kotegsom [21]

Answer:

k, a, and i  I think!

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Pls help I'm bad at math v.v<br><br> Lines m and n are parallel.
Eva8 [605]

Answer:

The measure of angle 1 is 55.

Step-by-step explanation:

The top angle= 75 because of the vertical angle theorem

The right angle= 50 because of the alternate exterior angle theorem

75+50=125

There are 180 degrees in a triangle so the angle has to equal 55

5 0
3 years ago
Think of a novel, short story, essay or poem that sends a message (or theme) to readers. Write an essay showing how the author u
pychu [463]
Hamlet by Shakespeare

The message of the story is how revenge can be a miserable and tragic phenomenon which leads to a more severe advancement and plot. Also, that deception and betrayal can be an amassing thing to all the individuals involved.


8 0
3 years ago
A<br> What is the product of 7 square root of 2 and 6 square root of 6 in simplest radical form?
ivolga24 [154]

Answer: 84/3

Step-by-step explanation:

8 0
2 years ago
Help with Math please!
Novay_Z [31]
The answer is P, because if both triangles are right angled and have the angle of 70°, then because angles in a triangle equal 180° you can say that they will be the same as 70 + 90 = 160, and 180 - 160 = 20, which is the same steps for both triangles. I hope this helps! Let me know if I need to explain it further or anything :)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the slope of this graph, thanks
    7·1 answer
  • The volume of a cone is 3x* cubic units and its height is x units.
    14·1 answer
  • Some foreign visas only last one year. Kalnes one year foreign visas was issued when he was 19 years old. How old will he be whe
    10·1 answer
  • What is 9 whole and 1/6 minus 4wholes and 5/6
    6·2 answers
  • Determine whether the statement is true or false.
    12·1 answer
  • Find the slope of the line that passes through (4, 7) and (10, 6).
    10·1 answer
  • Find the measure of the exterior angle in the following triangle DUE SOON I’LL GIVE BRAINLIEST
    6·2 answers
  • What is (7/4x)+(-3/2y) simplified
    10·1 answer
  • What is the length of segment AB?
    9·1 answer
  • Jess is trying to save $100. She saves money each week. The first week she saves
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!