If a - \(\frac{1}{a - 4}\) = 7 Then find , (a - 4)2 + \(\frac{1}{(a - 4)^2}\)

10 11 15 18

11

Given = a - \(\frac{1}{a - 4}\) = 7 By subtracting 4 on both sides we get, (a - 4) - \(\frac{1}{a - 4}\) = 7 - 4 = 3 (a - 4)2 + \(\frac{1}{(a - 4)^2}\) = 32 + 2 = 11   If x - \(\frac{1}{x}\) = a then, x2 + \(\frac{1}{x^2}\) = a2 + 2