যদি x − 1/x = 7, তবে x^4 + 1/x^4 এর মান কত?
Solution
Correct Answer: Option B
দেওয়া আছে, x - 1/x = 7
⇒ (x - 1/x)2 = 72
⇒ x2 + 1/x2 - 2.x.(1/x) = 49
⇒ x2 + 1/x2 = 51
⇒ (x2 + 1/x2 )2 = (51)2
⇒ x4 + 1/x4 + 2.x2 .(1/x2 ) = 2601
∴ x4 + 1/x4 = 2599
⇒ (x - 1/x)2 = 72
⇒ x2 + 1/x2 - 2.x.(1/x) = 49
⇒ x2 + 1/x2 = 51
⇒ (x2 + 1/x2 )2 = (51)2
⇒ x4 + 1/x4 + 2.x2 .(1/x2 ) = 2601
∴ x4 + 1/x4 = 2599
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