i am having a minor difficulty

i've been stuck for over an hour and don't know what to do
i don't know is this right

? = "+" or "-"
# = number

y=3
(x-3)^2 + (y-4)^2 = 9

i substitute y

(x-3)^2 + (3-4)^2 = 9
(x-3)^2 + 1 = 9
x^2 - 6x + 9 + 1 = 9
x^2 - 6x + 10 = 9
x^2 - 6x + 1 = 0
(x ? #)(x ? #) = 0

i get to here and now i am stuck
can u correct me if i did something wrong

please and thank you

3 answers

you are correct.
Use the quadratic formula

x= (-b+-sqrt (b^2-4ac))/2a

or do it this way:

(x-3)^1+1=9
(x-3)^2=8= 2*2^2
take the sqrt of each side
x-3=+-2*sqrt2

x= 3+sqrt2 or x=3-sqrt2

im confused

Check with your teacher, then.