x1+x2=1,x1x2=-2013
x1²-x1-2013=0
x³1-x1²-2013x1=0
x³1=x1²+2013x1
x³1+2014x2-2013=x1²+2013x1+2014x2-2013
=x1²-x1-2013+2014x1+2014x2
=(x1²-x1-2013)+2014(x1+x2)
=0+2014*1
=2014