Practicing Success
Practicing Success
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If a + \(\frac{1}{a + 1}\) = 10 Then find , (a + 1)3 + \(\frac{1}{(a + 1)^3}\) |
1298 1300 1331 1364 |
1298 |
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)3 + \(\frac{1}{(a + 1)^3}\) = 113 - 3 × 11 = 1298
Note - if x + \(\frac{1}{x}\) = a then x3 + \(\frac{1}{x^3}\) = a3 - 3a |
