Question
Download Solution PDFIf
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Concept used:
If
Then,
Calculation:
⇒
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⇒
⇒
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⇒
⇒
Now,
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⇒
∴ Ther required answer is 52.
Shortcut Trick
We know,
• If k4 + 1/k4 = a then k2 + 1/k2 = √(a + 2)
• If k2 + 1/k2 = b then k + 1/k = √(b + 2)
• If k + 1/k = c then k3 + 1/k3 = c3 - 3c
So, k4 + 1/k4 = 194 then k2 + 1/k2 = √196 = 14 so, k + 1/k = √16 = 4
Then, k3 + 1/k3 = 43 - 12 = 52
Last updated on Jul 9, 2025
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