If a + \(\frac{1}{a}\) + 2 = 0 Then find the value of  (a + 2) +  \(\frac{1}{(a + 2)}\).

1 2 3 0

2

If a + \(\frac{1}{a}\) + 2 = 0 it is possible only when a = -1 So put a = -1 in the required term = (a + 2) +  \(\frac{1}{a + 2}\) = (-1 + 2) +  \(\frac{1}{-1 + 2}\) = 2