If a + \(\frac{1}{a + 1}\) = 10 Then find , (a + 1)2 + \(\frac{1}{(a + 1)^2}\) |
121 123 119 124 |
119 |
Given = a + \(\frac{1}{a + 1}\) = 10 By adding 1 on both sides we get, (a + 1) + \(\frac{1}{a + 1}\) = 10 + 1 = 11 (a + 1)2 + \(\frac{1}{(a + 1)^2}\) = 112 - 2 = 119
If (x) + \(\frac{1}{x}\) = a then, (x)2 + \(\frac{1}{(x)^2}\) = a2 - 2 |