x+y=6
√(x-3) +√(y+2)=3
x-3+2√(x-3)(y+2)+y+2=9
2√(x-3)(y+2)=4
(x-3)(y+2)=4
(x-3)(6-x+2)=4
8x-x^2-24+3x=4
x^2-11x+28=0
(x-4)(x-7)=0
x=4 x=7
x=4 y=2
x=7 y=-1
x+y=6
√(x-3) +√(y+2)=3
x-3+2√(x-3)(y+2)+y+2=9
2√(x-3)(y+2)=4
(x-3)(y+2)=4
(x-3)(6-x+2)=4
8x-x^2-24+3x=4
x^2-11x+28=0
(x-4)(x-7)=0
x=4 x=7
x=4 y=2
x=7 y=-1