Question
Download Solution PDFযদি (4y - \(\frac{4}{y}\) ) = 13 হয়, তাহলে (y2 + \(\frac{1}{y^2}\) )-এর মান নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত
(4y - 4/y) = 13
ব্যবহৃত ধারণা
যদি (y - 1/y) = k হয়,
(y2 + 1/y2 ) = K2 + 2
গণনা
(4y - \(\frac{4}{y}\) ) = 13
পুরো সমীকরণটিকে 4 দ্বারা ভাগ করে পাই
⇒ (y - 1/y ) = 13/4
উভয়দিকে বর্গ করে পাই
⇒ (y2 + 1/y2 ) - 2 = 169/16
⇒ (y2 + 1/y2 ) = 169/16 + 2
⇒ (y2 + 1/y2 ) = (169 + 3 2)/16
⇒ (y2 + 1/y2 ) = 201 /16
⇒ (y2 + 1/y2 ) = 12(9/16)
রাশিটির মান হল 12(9/16)
Last updated on Jul 19, 2025
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