x2+2y^2-2x+4y^2=-3 求(x+y)^2005

问题描述:

x2+2y^2-2x+4y^2=-3 求(x+y)^2005

x^2+2y^2-2x+4y=-3
x^2+2y^2-2x+4y+3=0
x^2-2x+1+2y^2+4y+2=0
(x-1)^2+2(y+1)^2=0
x-1=0 x=1
y+1=0 y=-1
(x+y)^2005=0^2005=0