Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (a + \(\frac{1}{a}\))2 = 3, then find a18 + a12 + a6 + 1.

Options:

0

1

2

3

Correct Answer:

0

Explanation:

If a + \(\frac{1}{a}\) = \(\sqrt {3}\)

then, a6 = -1 always

Now;

⇒ a18 + a12 + a6 + 1 = (a6)3 + (a6)2 + a6 + 1 = - 1 + 1 - 1 + 1 = 0