已知x+y+yz=5,y+z+xy=8,x+z+xy=9,求x,y,z
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已知x+y+yz=5,y+z+xy=8,x+z+xy=9,求x,y,z
![已知x+y+yz=5,y+z+xy=8,x+z+xy=9,求x,y,z](/uploads/image/z/19844302-22-2.jpg?t=%E5%B7%B2%E7%9F%A5x%2By%2Byz%3D5%2Cy%2Bz%2Bxy%3D8%2Cx%2Bz%2Bxy%3D9%2C%E6%B1%82x%2Cy%2Cz)
3式-2式:x-y=1
3式:x²+z=9即(x+3)(x-3)=z
1式:2(x-3)/(x-1)=z
则(x+3)(x-1)=2,解得:x=±(根号6)-1,y=±(根号6)-2,z=±2(根号6)-2,一一对应.
3式:x²+z=9即(x+3)(x-3)=z
1式:2(x-3)/(x-1)=z
则(x+3)(x-1)=2,解得:x=±(根号6)-1,y=±(根号6)-2,z=±2(根号6)-2,一一对应.
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