Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a - \(\frac{1}{a - 1}\) = 7

Then find , (a - 1)2 + \(\frac{1}{(a - 1)^2}\)

Options:

35

38

34

40

Correct Answer:

38

Explanation:

Given = a - \(\frac{1}{a - 1}\) = 7

By subtracting 1 on both sides we get,

(a - 1) - \(\frac{1}{a - 1}\) = 7 - 1 = 6

(a - 1)2 + \(\frac{1}{(a - 1)^2}\) = 62 + 2 = 38

 

If x - \(\frac{1}{x}\) = a

then, (x)2 + \(\frac{1}{(x)^2}\) = a2 + 2