∵方程x²-3x+1=0的两个实数根为x₁，x₂，
∴x₁+x₂=-

b

a

=3，x₁x₂=

c

a

=1
则

1

x1

+

1

x2

=

x1+x2

x1x2

=

3

1

=3．
故本题选A．