Question 252528
The sum of the roots of this quadratic looking equation is -b/a. So, we get 
17 / (X^2 - 5X + 5). The denominator cannot = 0. So we factor the denominator as
X = (5 +- sqrt(5))/2
There are 2 roots here and if we add them, we get 5.
So, it appears that the answer will be 5 [A].

Hope that helps.