若(z-x)^2-4(x-y)(y-Z)=0,试说明x-2y+z=0.
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若(z-x)^2-4(x-y)(y-Z)=0,试说明x-2y+z=0.
若(z-x)^2-4(x-y)(y-Z)=0,试说明x-2y+z=0.
若(z-x)^2-4(x-y)(y-Z)=0,试说明x-2y+z=0.
(z-x)^2-4(x-y)(y-z)
=z^2-2zx+x^2-4xy+4y^2+4xz-4yz
=x^2+4y^2+z^2-4xy+2xz-4yz
=x^2+(-2y)^2+z^2+2x(-2y)+2xz+2(-2y)z
=(x-2y+z)^2=0
即x-2y+z=0
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若(z-x)^2-4(x-y)(y-z)=0,试说明:x-2y+z=0
若(z-x)^2-4(x-y)(y-Z)=0,试说明x-2y+z=0.
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