Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + \(\frac{1}{a + 3}\) = 7

Then find , (a + 3)2 + \(\frac{1}{(a + 3)^2}\)

Options:

100

98

102

96

Correct Answer:

98

Explanation:

Given = a + \(\frac{1}{a + 3}\) = 7

By adding 3 on both sides we get,

(a + 3) + \(\frac{1}{a + 3}\) = 7 + 3 = 10

(a + 3)2 + \(\frac{1}{(a + 3)^2}\) = 102 - 2 = 98

 

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

then, x2 + \(\frac{1}{x^2}\) = a2 - 2