Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x4 + \(\frac{1}{x^4}\) = 6887

Find x - \(\frac{1}{x}\)

Options:

12

15

9

8

Correct Answer:

9

Explanation:

x4 + \(\frac{1}{x^4}\) = 6887

x2 + \(\frac{1}{x^2}\) = \(\sqrt {6887 + 2}\) = 83

So, x - \(\frac{1}{x}\) = \(\sqrt {83 - 2}\) = 9