a + 3 + 1/a = 0 হলে, a3 + 1/a3 = কত?
Solution
Correct Answer: Option C
a + 3 + 1/a =0
=> a + 1/a = -3
∴ a3 + 1/a3 = ( a + 1/a )3 - 3 . a. 1/a ( a + 1/a )
= (-3)3 - 3.(-3)
= -27 + 9
= -18
=> a + 1/a = -3
∴ a3 + 1/a3 = ( a + 1/a )3 - 3 . a. 1/a ( a + 1/a )
= (-3)3 - 3.(-3)
= -27 + 9
= -18
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