Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + \(\frac{1}{a + 2}\) = 4

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

Options:

34

36

16

14

Correct Answer:

34

Explanation:

Given = a + \(\frac{1}{a + 2}\) = 4

By adding 2 on both sides we get,

(a + 2) + \(\frac{1}{a + 2}\) = 4 + 2 = 6

(a + 2)2 + \(\frac{1}{(a + 2)^2}\) = 62 - 2 = 34

 

If x + \(\frac{1}{x}\) = a

then, x2 + \(\frac{1}{x^2}\) = a2 - 2