Given that x satisfies x^2 - 8x + 1 = 0 , find the value of x + 1/x.
Using the Quadratic Formula \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
you'll find there are TWO values of 'x' that satisfy this quadrtatic x = 4 +- sqrt(15)
sub each of these x values in the x + 1/x equation <===== Take it from here !