a-(1/a)=√3 হলে a2-(1/a2) এর মান কত?
Solution
Correct Answer: Option B
দেওয়া আছে,
a-(1/a)=√3
আমরা জানি,
(a + 1/a)2= (a-1/a)2+4.a.1/a
⇒ (a + 1/a) = √{(a-1/a)2+4.a.1/a}
⇒ (a + 1/a) = √{(√3)2 + 4}
(a + 1/a) = √ (3 + 4) = √7
a2-(1/a2) = (a + 1/a) (a - 1/a)
a2-(1/a2) = √7 × √3 = √21
a-(1/a)=√3
আমরা জানি,
(a + 1/a)2= (a-1/a)2+4.a.1/a
⇒ (a + 1/a) = √{(a-1/a)2+4.a.1/a}
⇒ (a + 1/a) = √{(√3)2 + 4}
(a + 1/a) = √ (3 + 4) = √7
a2-(1/a2) = (a + 1/a) (a - 1/a)
a2-(1/a2) = √7 × √3 = √21
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