Question
Download Solution PDFp – 1/p = √7 ആണെങ്കിൽ, p3 – 1/p3 യുടെ മൂല്യം കണ്ടെത്തുക
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFതന്നിരിക്കുന്നത്:
p – 1/p = √7
സൂത്രവാക്യം:
P3 – 1/p3 = (p – 1/p)3 + 3(p – 1/p)
കണക്കുകൂട്ടൽ:
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
എളുപ്പ വഴി
x - 1/x = a ആണെങ്കിൽ x3 - 1/x3 = a3 + 3a
ഇവിടെ, a = √5
അതിനാൽ,
p3 – 1/p3 = (√7)3 + 3 × √7 = 7√7 + 3√7 = 10√7.
Last updated on Jul 5, 2025
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