Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + \(\frac{1}{x}\) = 12

then find the value of  (x2 + \(\frac{1}{x^2}\) + 13)

Options:

155

157

160

172

Correct Answer:

155

Explanation:

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

Here,

x + \(\frac{1}{x}\) = 12, then 

⇒ ( x2 + \(\frac{1}{x^2}\) + 13 ) = 122 - 2 + 13   = 155