Solve Quadratic System

x^2+y^2=2
x^2-6y=10

Please show work!!!

x^2 = 6y+10

(6y+10)^2 + y^2 = 2
37y^2 + 120y + 98 = 0
now just solve for y, then x.

I hope you're looking for complex solutions...

See

http://www.wolframalpha.com/input/?i=solve+x^2%2By^2%3D2%2C+x^2-6y%3D10+