√3−1/x = x হলে x3+x+1/x+1/x3 = ?

A 0

B √3

C 3√3

D 1

Solution

Correct Answer: Option B

√3−1/x = x 

=> x+ 1/x = √3 

এখন,
x3+x+1/x+1/x3 = (x+ 1/x)^3 - 3.x. 1/x (x+ 1/x) + x + 1/x 

                           = (√3)^3 - 3√3 + √3 

                           = 3√3 - 3√3 + √3 

                           = √3 

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