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} $

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