If a + \(\frac{1}{a}\) + 2 = 0, then find the value of (a49 - \(\frac{1}{a^{48}}\)) ?
Answer & explanation
Correct answer: option 2
a + \(\frac{1}{a}\) + 2 = 0
a + \(\frac{1}{a}\) = -2
a2 + 1 = -2a
(a + 1)2 = 0
a = -1
Now, a49 - \(\frac{1}{a^{48}}\)
= (-1)49 - \(\frac{1}{(-1)^{48}}\) = (-1) - (1) = -2