Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a - \(\frac{1}{a - 9}\) = 13

Then find , (a - 9)2 + \(\frac{1}{(a - 9)^2}\)

Options:

20

18

21

16

Correct Answer:

18

Explanation:

Given = a - \(\frac{1}{a - 9}\) = 13

By subtracting 9 on both sides we get,

(a - 9) - \(\frac{1}{a - 9}\) = 13 - 9 = 4

(a - 9)2 + \(\frac{1}{(a - 9)^2}\) = 42 + 2 = 18

 

Note - if x -  \(\frac{1}{x}\) = a

then x2 + \(\frac{1}{x^2}\) =  a2 + 2