x − 1/x = 2 হলে x4 + 1/x4 = কত?

A 32

B 33

C 34

D 35

Solution

Correct Answer: Option C


(x²)²+(1/x²)²
=(x²+1/x²) - 2.x².1/x²
={(x-1/x)²+2.x.1/x }² -2
={(2)² + 2 } -2
=(4+2)²-2
=6² -2
=36-2
=34

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