Answer:
1 real solution: x=3
Explanation:
By factoring:
x^2-6x+9=0
(x-3)^2=0
x-3=0
x=3
So yes there's 1 real solution which is x=3.
You can also check the discriminant:
b^2-4ac
(-6)^2-4(1)(9)
36-36
0
Since the discriminant is 0, there can only be 1 real solution.