Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If \(\sqrt {x}\) - \(\frac{1}{\sqrt {x}}\) = 4

Find x2 + \(\frac{1}{x^2}\)

Options:

326

324

322

328

Correct Answer:

322

Explanation:

Sq. on both sides

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

x + \(\frac{1}{x}\) - 2 = 16

x + \(\frac{1}{x}\) = 18

⇒ x2 + \(\frac{1}{x^2}\) = (18)- 2 = 322