Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (\(\sqrt {x}\))2 + \(\frac{1}{(\sqrt {x})^2}\) = 9

Find x2 - \(\frac{1}{×^2}\)

Options:

9\(\sqrt {77}\)

11\(\sqrt {77}\)

77\(\sqrt {11}\)

81

Correct Answer:

9\(\sqrt {77}\)

Explanation:

Formula →  (a + b) (a - b) = a2 - b2 

Given, (\(\sqrt {x}\))2 + \(\frac{1}{(\sqrt {x})^2}\) = 9

x - \(\frac{1}{x}\) = \(\sqrt {9^2 - 4}\) = \(\sqrt {77}\)

x2 - \(\frac{1}{×^2}\) = 9 × \(\sqrt {77}\) = 9\(\sqrt {77}\)