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问题: 整式的运算

(X-Z)(X-Z)-4(X-Y)(Y-Z)=0,试求X+Z与Y关系?

解答:

(x-z)^2-4(x-y)(y-z)=0
--->[(x-y)+(y-z)]^2-4(x-y)(y-z)=0
--->(x-y)^2-2(x-y)(y-z)+(y-z)^2=0
--->[(x-y)-(y-z)]^2=0
--->(x-2y+z)^2=0
--->x-2y+z=0
--->x+z=2y
--->(x+z)/y=2