need help on quadratic reciprocity

Prove that the quadratic residues of 11 are 1,3,4,5,9, and list all solutions of each of the ten congruences

and where a=1,3,4,5,9.

i used Legendre to show (1/11)=1,...,(9/11)=1, for i used legendre again to show a=1,3,4,5,9 are quadratic residues of .

My problem is with the second part have no idea how to even begin.

Quadratic residues form a repeating pattern

, , , , , , , , , ,

And

So the solutions for the first part are:

x=1+11k or x=10+11k

x=5+11k or x=6+11k

x=2+11k or x=9+11k

x=4+11k or x=7+11k

x=3+11k or x=8+11k