A) 1
B) \[\frac{1}{2}\]
C) 3
D) \[\frac{7}{11}\]
Correct Answer: C
Solution :
Given that, \[1+\frac{1}{1\left\{ \frac{1}{\left( x+\frac{1}{x} \right)} \right\}}=\frac{11}{7}\] Or \[1+\frac{1}{\left\{ 1+\frac{x}{1+x} \right\}}=\frac{11}{7}\] Or \[1+\frac{1+x}{1+2x}=\frac{11}{7}\] Or \[\frac{1+2x+1+x}{1+2x}=\frac{11}{7}\] Or \[\frac{2+3x}{1+2x}=\frac{11}{7}\] Or \[14+21x=11+22x\] Or \[x=14-11=3\]You need to login to perform this action.
You will be redirected in
3 sec