|x-3y-1|+(x+y)^2=4xy求y分之x

|x-3y-1|+(x+y)^2=4xy求y分之x
|x-3y-1|+(x+y)^2=4xy
求y分之x

|x-3y-1|+(x+y)^2=4xy求y分之x
|x-3y-1|+(x+y)^2=4xy
|x-3y-1|+x^2+y^2+2xy=4xy
|x-3y-1|+x^2+y^2-2xy=0
|x-3y-1|+(x-y)^2=0
因为|x-3y-1|》0,(x-y)^2》0
所以|x-3y-1|=0,(x-y)^2=0
x-3y-1=0
x-y=0
x=y=-1/2
y分之x=1