Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a - \(\frac{1}{a - 4}\) = 5

Then find , (a - 4)3 - \(\frac{1}{(a - 4)^3}\)

Options:

1

2

3

4

Correct Answer:

4

Explanation:

Given = a - \(\frac{1}{a - 4}\) = 5

By subtracting 4 on both sides we get,

(a - 4) - \(\frac{1}{a - 4}\) = 5 - 4 = 1

(a - 4)3 - \(\frac{1}{(a - 4)^3}\) = 13 + 3 × 1 = 4

 

Note - if x -  \(\frac{1}{x}\) = a

then x3 - \(\frac{1}{x^3}\) =  a3 + 3a