Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x2 - 43x + 1= 0

 and x > 1, then the value of

x2 + \(\frac{1}{x^2}\) will be:

Options:

1849

1853

1847

1434

Correct Answer:

1847

Explanation:

If x2 - 43x + 1= 0

Divide by x on both sides,

x +  \(\frac{1}{x}\) = 43

x2 + \(\frac{1}{x^2}\)  = 432 - 2 = 1847

 

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