Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + \(\frac{1}{a + 1}\) = 10

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

Options:

121

123

119

124

Correct Answer:

119

Explanation:

Given = a + \(\frac{1}{a + 1}\) = 10

By adding 1 on both sides we get,

(a + 1) + \(\frac{1}{a + 1}\) = 10 + 1 = 11

(a + 1)2 + \(\frac{1}{(a + 1)^2}\) = 112 - 2 = 119

 

If (x) + \(\frac{1}{x}\) = a

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