I think using the quadratic formula, we can find what x is equal to.
so
x^2+1=7x
Subtract 7x from both sides
x^2-7x+1
(Notice it is in the form ax^2+bx+c)
Apply the quadratic formula
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
You will eventually get
x=6.85410196 approx.=6.85
Now I don't understand what do you mean what is the sum of x?
Its reciprocal is just 1/6.85 i guess.