Question
Download Solution PDFयदि p - 1/p = √7 है, तब p3 – 1/p3 का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
p – 1/p = √7
सूत्र:
P3 – 1/p3 = (p – 1/p)3 + 3(p – 1/p)
गणना:
P3 – 1/p3 = (p – 1/p)3 + 3 (p – 1/p)
⇒ p3 – 1/p3 = (√7)3 + 3√7
⇒ p3 – 1/p3 = 7√7 + 3√7
⇒ p3 – 1/p3 = 10√7
Shortcut Trick
x - 1/x = a, तब x3 - 1/x3 = a3 + 3a
यहाँ, a = √7
अत:,
p3 – 1/p3 = (√7)3 + 3 × √7 = 7√7 + 3√7 = 10√7
Last updated on Jul 17, 2025
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