Question
Download Solution PDFp – 1/p = √7 எனில், p3 – 1/p3 இன் மதிப்பைக் கண்டறியவும்.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
p – 1/p = √7
சூத்திரம்:
P3 – 1/p3 = (p – 1/p)3 + 3(p – 1/p)
கணக்கீடு:
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
x - 1/x = a, பின்னர் x3 - 1/x3 = a3 + 3a
இங்கே, a = √7 (மதிப்பை தேவையான eqn இல் வைக்கவும்)
⇒p3 – 1/p3 = (√7)3 + 3 × √7 = 7√7 + 3√7
⇒p3 – 1/p3 = 10√7.
எனவே; விருப்பம் 4) சரியானது.
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