Quantitative Aptitude Ques 2098
Question: If $ \frac{x}{2x^{2}+5x+2}=\frac{1}{6}, $ then the value of $ ( x+\frac{1}{x} ) $ is
Options:
A) $ 2 $
B) $ \frac{1}{2} $
C) $ -\frac{1}{2} $
D) $ -2 $
Show Answer
Answer:
Correct Answer: B
Solution:
- $ \frac{x}{2x^{2}+5x+2}=\frac{1}{6} $
$ \Rightarrow $ $ 2x^{2}+5x+2=6x $
$ \Rightarrow $ $ 2x^{2}+2=6x-5x=x $ $ 2(x^{2}+1)=x^{2} $ On dividing by 2, we get $ x^{2}+1=\frac{x}{2} $ On dividing by x, we get $ x+\frac{1}{x}=\frac{1}{2} $
BETA
