Answer:
We can say that the given equation has no extraneous solutions.
The correct option is A.) 0
Step-by-step explanation:
the given equation is [tex]\frac{9}{n^{2} +1} = \frac{n+3}{4}[/tex]
this equals to [tex]36 = (n^{2} +1)(n+3) = n^{3} + 3n^{2} + n + 3[/tex]
therefore [tex]n^{3} +3n^{2} +n+3 = 36 \hspace{0.3cm}\Rightarrow \hspace{0.3cm}n^{3} +3n^{2} +n-33=0[/tex]
Solving the equation through Newton-Raphson method we get n [tex]\approx[/tex] 2.3845.
We can say that the given equation has no extraneous solutions.
Answer:
A. 0
Step-by-step explanation:
How many extraneous solutions does the equation below have?
StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction
0
1
2
3
