If a + \(\frac{1}{a}\) + 2 = 0, then find the value of (a49 - \(\frac{1}{a^{48}}\)) ? |
0 -2 2 1 |
-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 |