If a + \(\frac{1}{a}\) + 2 = 0
Then find the value of (a + 2)39 + \(\frac{1}{(a + 2)^{39}}\).
Answer & explanation
Correct answer: option 1
If a + \(\frac{1}{a}\) + 2 = 0
it is possible only when a = -1
So put a = -1 in the required term =
(a + 2)39 + \(\frac{1}{(a + 2)^{39}}\) = (-1 + 2)39 + \(\frac{1}{(-1 + 2)^{39}}\) = 2