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If x2-3x+1=0, then the value of x+1/x is :

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(1) 0 (2) 1 (3) 2 (4) 3

Solution:

x2-3x+1=0

⇒ x2+1= 3x

⇒ x2+1/x= 3x/x

⇒ x+1/x = 3

Then the answer is 3.

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