Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + \(\frac{1}{x}\) = 44

then find the value of  ( (x)2 + (\(\frac{1}{x}\))2 + 117)

Options:

2050

2059

2251

2051

Correct Answer:

2051

Explanation:

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

Here,

x + \(\frac{1}{x}\) = 44, then 

⇒ ( (x)2 + (\(\frac{1}{x}\))2 + 117) = 442 - 2 + 117 = 2051