x2+1−√3x = 0 হলে x2+1/x2 = ?

A 10

B 1

C 4

Solution

Correct Answer: Option B

x²+1-√3x=0
বা , x²+1=√3x
বা , (x²+1)/x=√3
বা , x²/x+1/x=√3
∴ x+1/x =√3


এখন,  
x²+1/x²
=(x+1/x)² -2 x.1/x
=(√3)² -2
=3-2
=1

∴  x²+1/x²=1

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