x-1/x = 2 হলে, x4 + 1/x4 = কত ?

x-1/x = 2 হলে, x⁴ + 1/x⁴ = কত ?

A 30

B 31

C 32

D 34

Solution

Correct Answer: Option D

প্রদত্ত রাশি = x⁴ + 1/x⁴ = (x²)² + (1/x²)²

=> ( x² + 1/x²)² - 2.x².1/x²

=> {(x-1/x)² + 2.x.1/x²} - 2

=> { 2² + 2}² - 2

=> (4+2)² - 2

=> 6² - 2

=> 36-2

=> 34

Solution

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