Question
Download Solution PDFIf
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
• If (x + 1/x) = a then (x - 1/x) = √(a2 - 4)
• If x + 1/x = a, then (x3 + 1/x3) = a3 - 3a
• If x - 1/x = a, then (x3 - 1/x3) = a3 + 3a
Calculation:
⇒ (x3)2 - (1/x3)2
⇒ (x3 + 1/x3) (x3 - 1/x3)
⇒ [(2√2)3 - 3(2√2)] [23 + 3 × 2]
⇒ [16√2 - 6√2] × 14
⇒ 10√2 × 14
⇒ 140√2
∴ The correct answer is 140√2
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