Answer
$5$.
Work Step by Step
Step 1. Use synthetic division as shown in the figure to get the quotient.
Step 2. Find other zeros $x^2-5x+1=0 \Longrightarrow x=\frac{5\pm\sqrt {25-4}}{2}=\frac{5\pm\sqrt {21}}{2}$
Step 3. Thus the sum of the remaining solutions is $5$.