If a - \(\frac{1}{a - 1}\) = 7 Then find , (a - 1)2 + \(\frac{1}{(a - 1)^2}\) |
35 38 34 40 |
38 |
Given = a - \(\frac{1}{a - 1}\) = 7 By subtracting 1 on both sides we get, (a - 1) - \(\frac{1}{a - 1}\) = 7 - 1 = 6 (a - 1)2 + \(\frac{1}{(a - 1)^2}\) = 62 + 2 = 38
If x - \(\frac{1}{x}\) = a then, (x)2 + \(\frac{1}{(x)^2}\) = a2 + 2 |