a - 1/a = 3 হলে a3 + 1/a3 এর মান কত?
Solution
Correct Answer: Option D
দেয়া আছে, a - 1/a = 3
আমরা জানি,
(a + 1/a)2 =(a - 1/a)2 + 4.a.1/a
(a + 1/a)2 =32 + 4
(a + 1/a)2 =9 + 4
(a + 1/a)2 = 13
(a + 1/a) = √13
a3 + 1/a3 = (a + 1/a)3 - 3.a.(1/a)(a + 1/a)
= (√13)3 - 3√13
= 13√13 - 3√13
= 10√13
আমরা জানি,
(a + 1/a)2 =(a - 1/a)2 + 4.a.1/a
(a + 1/a)2 =32 + 4
(a + 1/a)2 =9 + 4
(a + 1/a)2 = 13
(a + 1/a) = √13
a3 + 1/a3 = (a + 1/a)3 - 3.a.(1/a)(a + 1/a)
= (√13)3 - 3√13
= 13√13 - 3√13
= 10√13
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