Find the largest value of x for which
x^2 + y^2 = x + y + 4
has a solution, if x and y are real.
x^2 - x + y^2 - y = 4
(x-.5)^2 + (y-.5)^2 - .5 = 4
(x-.5)^2 + (y-.5)^2 = 4.5
The largest value of x is sqrt(4.5) + .5
=^._.^=
