http://puu.sh/3kEIh.png

My attempt: I wrote it down on paper and I have nothing I could use to take a picture of, I'm not sure how I can write it out but:

square both sides to get rid of the radical sign on the left side then use FOIL on right side.

q^2/2 + 11 = q^2 - 2q + 2

multiply 2

q^2 - 4q - 18

then i put it into the quadratic formula, q^2 = a -4 = b -18 = c

after that, I ended up with http://puu.sh/3kEO7.png

the answer for this question is suppose to be q = 2 + 2(sqrt(6))

i don't know how to get the right answer.