x⁴+2x²+1 = 5x² হলে x+(1/x) = কত?

A √3

B 5

C 2

D √5

Solution

Correct Answer: Option D

ব্যাখ্যাঃ     x⁴+2x²+1 = 5x² 

       => x⁴+2x²+1/ x = 5 

       => x/ x + 2x/ x + 1/x = 5 

      => x+ 2+ 1/x2 = 5             =>  x+ 1/x = 5 - 2 

      => (x + 1/x) - 2. x. 1/x = 3    => (x + 1/x) = 3 + 2 

           x + 1/x = 5 

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