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

CUET Preparation Today

Start Free Mocks

Home Questions CGJDZ7FDSC

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + \(\frac{1}{a}\) + 2 = 0, then find the value of (a⁴⁷ - \(\frac{1}{a^{98}}\)) ?

Options:

-2

Correct Answer:

-2

Explanation:

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

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

a² + 1 = -2a

(a + 1)² = 0

a = -1

Now, a⁴⁷ - \(\frac{1}{a^{98}}\)

= (-1)⁴⁷ - \(\frac{1}{(-1)^{98}}\) = (-1) - (1) = -2