x4 - x2 - 1 = 0 হলে, x2 - 1/x2 = কত?

A 14

B 1

C √5

D 3

Solution

Correct Answer: Option B

x4 - x2 - 1 = 0
বা, x4 - 1 = x2
বা, (x4/x2) - (1/x2) = (x2/x2) [উভয় পক্ষে x2 দ্বারা ভাগ করে]
বা, x2 - (1/x2) = 1
∴ x2 - 1/x2 = 1

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