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LenKa [72]
3 years ago
9

How many extraneous solutions does the equation below have? 9 over n squared +1 =n+3 over 4? 0 1 2 3

Mathematics
2 answers:
Annette [7]3 years ago
7 0

Answer:

Option 1 - There is no extraneous solution i.e. 0.      

Step-by-step explanation:

Given : Expression \frac{9}{n^2+1}=\frac{n+3}{4}

To find : How many extraneous solutions does the equation have ?

Solution :

First we solve to expression to determine the extraneous solution,

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

Cross multiply,

9\times 4=(n+3)(n^2+1)

36=n^3+n+3n^2+3

n^3+3n^2+n-33=0

An extraneous solution is defined as a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

The equation form is a cubic function so it has 3 solutions.

Therefore, There is no extraneous solution.

LenKa [72]3 years ago
4 0
The answer is 0. While the answer for n is approximately 2.384503, there are no EXTRANEOUS solutions. Again, the answer is a.) 0
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