Question
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
y - (1/y) = 4
प्रयुक्त सूत्र:
यदि y - (1/y) = P तब,
y + (1/y) = √(P2 + 4)
यदि y + (1/y) = P तब,
y3 + (1/y3) = P3 - 3P
गणना:
y - (1/y) = 4
⇒ y + (1/y) = √(42 + 4) = √20
⇒ y + (1/y) = 2√5
अब,
y3 + (1/y3) = (2√5)3 - 3 × 2√5
⇒ 40√5 - 6√5 = 34√5
y3 + (1/y3) = 34√5
दोनों पक्षों का वर्ग करने पर,
⇒ {y3 + (1/y3)}2 = (34√5)2
⇒ y6 + (1/y6) + 2 = 1156 × 5
⇒ y6 + (1/y6) = (5780 - 2) = 5778
∴ सही उत्तर 5778 है।
Last updated on Jul 12, 2025
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