Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + \(\frac{1}{16x}\) = 3, then 16x3 + \(\frac{1}{256x^3}\) is equals to:

Options:

441

414

423

432

Correct Answer:

423

Explanation:

Given, x + \(\frac{1}{16x}\) = 3

multiply by 4

so, 4x + \(\frac{1}{4x}\) = 12

64x3 + \(\frac{1}{64x^3}\) = 1728 - (3 × 12) = 1692

Divide by 4

16x3 + \(\frac{1}{256x^3}\) = \(\frac{1692}{4}\) = 423