Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $(x + \frac{1}{x}) = 5\sqrt{2}$, then what is the value of (x4 + x-4)?

Options:

2542

2650

2452

2302

Correct Answer:

2302

Explanation:

If $(x + \frac{1}{x}) = 5\sqrt{2}$

what is the value of (x4 + x-4)

$(x + \frac{1}{x}) = 5\sqrt{2}$

(x2 + x-2) = (5\(\sqrt {2}\))2 - 2 = 48

= (x4 + x-4) = 482 - 2 = 2302