If x + \(\frac{1}{x}\) = 17 then f

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + \(\frac{1}{x}\) = 17

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

Options:

\(\sqrt {285}\)

\(\sqrt {287}\)

Correct Answer:

\(\sqrt {285}\)

Explanation:

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

Here,

x + \(\frac{1}{x}\) = 17, then

⇒ x - \(\frac{1}{x}\) = \(\sqrt {17^2 - 4}\) = \(\sqrt {285}\)