(X+y-3)2+(X-Y+6)2=0,则X2-Y2的值为()

来源：学生作业帮助网编辑：作业帮时间：2024/11/24 14:38:01

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(X+y-3)2+(X-Y+6)2=0,则X2-Y2的值为()
(X+y-3)2+(X-Y+6)2=0,则X2-Y2的值为()

(X+y-3)2+(X-Y+6)2=0,则X2-Y2的值为()
(X+y-3)2+(X-Y+6)2=0
由于平方数的值为非负数
题中说明 x+y-3=0 而且 x-y+6=0
解得 x=-3/2 y=9/2
x^2-y^2=(x+y)(x-y)= 3*(-6)=-12

X+Y-3=0 X-Y+6=0 X+Y=3 X-Y=-6
X^2-Y^2=(X+Y)*(X-Y)=-18

回楼上，3*（-6）不是=-18吗？

由(X+y-3)²+(X-Y+6)²=0得，x+y-3=0,x-y+6=0,解得x=-3/2,y=9/2,所以X2-Y2=9/4-81/4=-18

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