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
Alex777 [14]
2 years ago
13

How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove

r 4 EndFraction.
Mathematics
1 answer:
BigorU [14]2 years ago
5 0

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

\dfrac{9}{n^2+1} =\dfrac{n+3}{4}

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

brainly.com/question/15070282

You might be interested in
The area of a semicircle is A=1/2(3.14)r^2 solve for r
Inessa05 [86]
First divide bot sides of the formula by 1/2(3.14):-

2A / 3.14 =  r^2

r = sqrt (2A/3.14)
7 0
3 years ago
Plz help me well mark brainliest if correct......?
Maru [420]

Answer:

It think it is A brainliest?

Step-by-step explanation:

4 0
2 years ago
3/24 in simplest form
daser333 [38]
1/8

3 divide by 3=1

24 divide by 3= 8

which gives you 1/8
5 0
3 years ago
Read 2 more answers
Six friends went out to lunch they each started with the same amount of money and they each spent 8$ they ended with a combined
ss7ja [257]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
100 points! Will mark brainliest! Only answer if u know it. Random answers will be reported
Setler79 [48]

Step-by-step explanation:

Hey there!

According to the question, you need to find out the distance from your friend's house to school.

<em>Firstly figure out the coordinate of your school and school. Then use formula of distance.</em>

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

d =  \sqrt{( {x2 - x1)}^{2}  + ( {y2 - y1)}^{2} }

~ Put all values.

d =  \sqrt{ {(5 - 7)}^{2}  + ( {0 - 7)}^{2} }

~ Simplify it.

d =  \sqrt{ {( - 2)}^{2}  +  {( - 7)}^{2} }

d =  \sqrt{4 + 49}

d =  \sqrt{53}

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
Read 2 more answers
Other questions:
  • The circle below is centered at the origin and has a radius of 5 what is it’s equation
    12·2 answers
  • Please someone help me. I really don’t understand geometry.. it’s confusing :c
    10·1 answer
  • High School's track team won 8 meets and lost 2. What is the ratio of wins to the total number of track meets?
    9·1 answer
  • The length of a rectangle is three times its width.
    6·1 answer
  • The height of a box is 30 inches.<br><br> What is the height of the box in feet?
    9·2 answers
  • There are 16 circles and 12 squares. What is the simplest ratio of squares to circle
    9·1 answer
  • My new unit of math isn’t covered on Brainly
    12·1 answer
  • 3/8 + 1/8 - 2/7 + 1/4
    8·2 answers
  • Grapes are on sale for $0.97 per pound and Bart wants to purchase 4 pounds of grapes. How much will he spend?
    14·2 answers
  • Which expression represents the perimeter of the triangle?<br><br> 8x + 2<br> 18x<br> 8x
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!