Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $\frac{2 p}{p^2-5 p+1}=\frac{1}{10}, p \neq 0$, then the value of $\left(p+\frac{1}{p}\right)$ is:

Options:

10

25

1

15

Correct Answer:

25

Explanation:

$\frac{2 p}{p^2-5 p+1}=\frac{1}{10}, p \neq 0$

= 20p = p- 5 p + 1

= p- 5 p + 1 = 20p

=  p- 25 p + 1 = 0

Divide by p on both sides = 

p + \(\frac{1}{p}\) = 25