If a + \(\frac{1}{a + 7}\) = 5 Then find , (a + 7)2 + \(\frac{1}{(a + 7)^2}\)

144 148 142 140

142

Given = a + \(\frac{1}{a + 7}\) = 5 By adding 7 on both sides we get, (a + 7) + \(\frac{1}{a + 7}\) = 5 + 7 = 12 (a + 7)2 + \(\frac{1}{(a + 7)^2}\) = 122 - 2 = 142   If x + \(\frac{1}{x}\) = a then, x2 + \(\frac{1}{x^2}\) = a2 - 2