实数x,y满足x>=y>=1和2xx-xy-5x+y+4=0,则x+y=?

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实数x,y满足x>=y>=1和2xx-xy-5x+y+4=0,则x+y=?实数x,y满足x>=y>=1和2xx-xy-5x+y+4=0,则x+y=?实数x,y满足x>=y>=1和2xx-xy-5x+y

实数x,y满足x>=y>=1和2xx-xy-5x+y+4=0,则x+y=?
实数x,y满足x>=y>=1和2xx-xy-5x+y+4=0,则x+y=?

实数x,y满足x>=y>=1和2xx-xy-5x+y+4=0,则x+y=?
2X^2 -XY-5X+Y+4
=X^2+X(X-Y)-4X-X+Y+4
=(X-2)^2+(X-1)(X-Y)=0
x≥y≥1
(x-2)^2>=0,x-1>=0,x-y>=0,即(x-1)(x-y)>=0
两项都非负,故均为0.
x-2=0,(x-1)(x-y)=0
即X=2 Y=2
X+Y=4