If a + \(\frac{1}{a}\) + 2 = 0, then find the value of (a47 - \(\frac{1}{a^{98}}\)) ?
Answer & explanation
Correct answer: option 3
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