If a + \(\frac{1}{a}\) + 2 = 0 The

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + \(\frac{1}{a}\) + 2 = 0

Then find the value of (a + 2)⁴¹ + \(\frac{1}{(a + 2)^{41}}\) - 2.

Options:

-2

Correct Answer:

Explanation:

If a + \(\frac{1}{a}\) + 2 = 0

it is possible only when a = -1

So put a = -1 in the required term =

(a + 2)⁴¹ + \(\frac{1}{(a + 2)^{41}}\) - 2 = (-1 + 2)⁴¹ + \(\frac{1}{(-1 + 2)^{41}}\) - 2 = 0