Question
Download Solution PDFযদি p – 1/p = √7 হয়, তবে p3 – 1/p3 এর মানটি নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFদেওয়া :
p – 1/p = √7
সূত্র:
P3 – 1/p3 = (p – 1/p)3 + 3(p – 1/p)
গণনা:
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, তারপর x3 - 1/x3 = a3 + 3a
এখানে, a = √7 ( মানটি প্রয়োজনীয় eqn এ রাখুন)
⇒p3 – 1/p3 = (√7)3 + 3 × √7 = 7√7 + 3√7
⇒p3 – 1/p3 = 10√7 ।
তাই; বিকল্প 4) সঠিক।
Last updated on Jun 11, 2025
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