X + (1/X) = 4 হলে, X2 + 1/X2 এর মান কত?

A 10

B 12

C 14

D 16

Solution

Correct Answer: Option C

X + (1/X) = 4
⇒ {X + (1/X)}2 = 16
⇒ X2 + 2 . X . (1/X) + 1/X2 = 16 
⇒ X2 + 1/X2 = 16 -2 = 14 

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