i am having a minor difficulty

Question

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=x
(x+1)squared + (y+1)squared = 6

i substitute y

(x+1)squared + (x+1)squared = 6
x squared + 2x + 1 + x squared + 2x + 1 = 6
2x squared + 4x + 2 = 6
2x squared + 4x - 4 = 0
2(x squared + 2x - 2) = 0
2(x ? #)(x ? #)

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

please and thank you

Answer 1

You did nothing wrong, but not every quadratic factors.
An easier way is not to expand it.
from
(x+1)^2 + (x+1)^2 = 6
2(x+)^2 = 6
(x+1)^2 = 3
x+1 = ± √3
x = -1 ± √3

take it from here