Respuesta :
The answer is 0. While the answer for n is approximately 2.384503, there are no EXTRANEOUS solutions. Again, the answer is a.) 0
Answer:
Option 1 - There is no extraneous solution i.e. 0.
Step-by-step explanation:
Given : Expression [tex]\frac{9}{n^2+1}=\frac{n+3}{4}[/tex]
To find : How many extraneous solutions does the equation have ?
Solution :
First we solve to expression to determine the extraneous solution,
[tex]\frac{9}{n^2+1}=\frac{n+3}{4}[/tex]
Cross multiply,
[tex]9\times 4=(n+3)(n^2+1)[/tex]
[tex]36=n^3+n+3n^2+3[/tex]
[tex]n^3+3n^2+n-33=0[/tex]
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.
