Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + \(\frac{1}{x}\) = 17

then find the value of  x2 + \(\frac{1}{x^2}\)

Options:

142

119

289

287

Correct Answer:

287

Explanation:

⇒ If x + \(\frac{1}{x}\) = a then x2 + \(\frac{1}{x^2}\) = a2 - 2

Here,

x + \(\frac{1}{x}\) = 17 , then 

⇒ x2 + \(\frac{1}{x^2}\) = 172 - 2  = 287