x2-3x+1=0 হলে (x2 - 1/x2) এর মান-
Solution
Correct Answer: Option B
x2-3x+1=0
বা, x2-3x=-1
বা, x(x-3)=-1
বা, x-3=-1/x
বা, x+1/x=3
বা, (x+1/x)2=32
বা, (x+1/x)2=9
বা, (x-1/x)2+4.x.1/x=9
বা, (x-1/x)2=9-4
বা, (x-1/x)2=5
বা, x-1/x=√5
এখন, x2-1/x2=(x+1/x) (x-1/x) =3√5
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