Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x - \(\frac{1}{x}\) = 7\(\sqrt{2}\)

then find the value of  ( x + \(\frac{1}{x}\) )

Options:

10

12

13

8

Correct Answer:

10

Explanation:

⇒ If x - \(\frac{1}{x}\) = a then x + \(\frac{1}{x}\) = \(\sqrt {a^2 + 4}\)

Here,

x - \(\frac{1}{x}\) = 4\(\sqrt{6}\), then 

⇒ x + \(\frac{1}{x}\) = \(\sqrt {(4\sqrt{6})^2 + 4}\) = 10