x²-2x+1 = 0 হলে, (x⁴+2x²+1)/x² এর মান-

A 2

B 2√2

C 1

D 4

Solution

Correct Answer: Option D

x²-2x+1 = 0  

=> (x-1)2 = 0 

=> x - 1 = 0 

         x = 1 

 এখন, (x⁴+2x²+1)/x² = {(x2)2 + 2.x2.1 + (1)2} /x 

                                = {(x2+1)2}/x2 

                                = {(1)2 + 1}2/(1)

                                = (1+1)2/ 1 

                                = 4

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