Question : If $x^2-7x+1=0$, what is the value of $(x+\frac{1}{x})$.
Option 1: 7
Option 2: 3
Option 3: 51
Option 4: 47
Correct Answer: 7
Solution :
Given:
$x^2-7x+1=0$
Dividing both sides by $x$ we get,
$x-7+\frac{1}{x}=0$
$\therefore x+\frac{1}{x}=7$
Hence, the correct answer is 7.
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