Question
Download Solution PDFजर p – 1/p = √7, तर p3 – 1/p3 चे मुल्य शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिल्याप्रमाणे:
p – 1/p = √7
सुत्र:
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
चतूर पद्धत
x - 1/x = a, then x3 - 1/x3 = a3 + 3a
येथे, a = √5
म्हणून,
p3 – 1/p3 = (√7)3 + 3 × √7 = 7√7 + 3√7 = 10√7.
Last updated on Jun 27, 2025
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